Question: Were Ibn Tufail and Abū Ja'far al-Khāzin both from Iran?
Context: Imam Abū Ja'far Aḥmad ibn Muḥammad al-Ṭaḥāwī or simply al-Ṭaḥāwī (الطحاوي ) was (853–21 November 933) a Sunni Islamic Scholar who was from the Hanafi madhhab. Muhammad ibn Mikal was an Iranian nobleman from the Mikalid family, who served as a military commander of the Tahirid dynasty.  He was the son of Mikal, a nobleman who had left Iraq and settled in Khurasan, and could trace his descent back to the Sogdian ruler Divashtich.  Muhammad also had a brother named Shah ibn Mikal, who, during his early career, along with Muhammad, played an important role under the Tahirid ruler Abdallah ibn Tahir al-Khurasani.  In 864, the Alid Hasan ibn Zayd conquered Tabaristan from the Tahirids, while another Alid named Muhammad ibn Ja'far ibn al-Hasan expelled the Tahirid governor of Ray, and captured the city.  The Tahirid ruler Muhammad ibn Tahir shortly sent an army from Khurasan under Muhammad ibn Mikal, who managed to recapture the city and capture Muhammad ibn Ja'far.  Hasan, however, quickly made a counter-attack under his Dailamite general Wajin, who managed to rout the army of Muhammad ibn Mikal, and kill the latter. The El-Bizri (البزري—البزرة) is the Arabic name of a well-known Levantine family .  Its members settled historically in Sidon in Lebanon with a large branch that also grew in Damascus in Syria, and a much smaller presence also in Acre ('Akka) mainly in pre-1948 Palestine.  Traditionalist Arab/Levantine genealogists ("nuqaba’ Sayda wa Dimashq") who established the family-tree noted that the El-Bizri descent comes from the lineage of the Imam Husayn ibn Ali as 'Sheriffs' ("Ashraf").  Following Arab clan lineages, which are recorded as well as transmitted orally, the El-Bizri line is traced back to the grandfather of the family, the al-Siyyid ‘Abd’Allah al-Bizri al-Sidawi, who is linked to the descendants of al-Siyyid Ja’far al-Tawwab al-Rabhi, known as Abi al-Banin who is the son of al-Imam al-Hadi and the uncle of the hidden and awaited Imam al-Mahdi (His grandfather is al-Imam Muhammad al-Jawwad, ibn al-Imam ‘Ali al-Rida, ibn al-Imam Musa al-Kazim, ibn al-Imam Ja’far al-Sadiq, ibn al-Imam Muhammad al-Baqir, ibn al-Imam ‘Ali Zayn al-‘Abidin, ibn al-Imam Husayn).  The El-Bizri family is a bearer of the historical titles ‘Husayni’ and ‘Ridwi’ (in a respective attribution of their lineage to Imam al-Husayn and Imam al-Rida).  Although being "Ashraf" who descend from the Husayni and Ridwi line, they are not Shi’a but for a long time they have been associated with the Sunni Hanafi tradition in Islam, perhaps under influences from the Ottoman era in the Levant.  The ancient lineage of the family is safeguarded in the records of its elders, and the clerics who search for genealogies ("ansab al-ashraf") confirmed the old family-tree manuscript that is traced on papyrus .  Many of the young members of the El-Bizri family are not aware of their Arabian lineage, let alone that tradition links their clan history with the descendants from the tree of the Imam al-Husayn bin 'Ali, or that they have migrated historically from the eastern regions of the Fertile Crescent to Damascus and the Lebanese coast. Abu Jafar Muhammad ibn Hasan Khazini (900–971), also called Al-Khazin, was an Iranian Muslim astronomer and mathematician from Khorasan.  He worked on both astronomy and number theory. Mūsá ibn Ja‘far al-Kāzim (Arabic: موسى بن جعفر الكاظم‎ ‎ ), also called Abūl-Hasan, Abū Abd Allah, Abū Ibrāhīm, and al-Kāzim (the one who controls his anger), was the seventh Shiite Imam after his father Ja'far al-Sadiq.  He is regarded by Sunnis as a renowned scholar, and was a contemporary of the Abbasid caliphs Al-Mansur, Al-Hadi, Al-Mahdi and Harun al-Rashid.  He was imprisoned several times, finally dying in Baghdad in the Sindi ibn Shahak prison.  Ali al-Ridha, the eighth Imām, and Fatemah Masume were among his children. Abu al-Hasan al-Ahwazi was a Persian mathematician and astronomer of the 4th/10th and 5th/11th centuries.  His name suggests that he was originally from Ahvaz.  Abu Rayhan Biruni mentioned his name several times in his works, which indicates that his works were important.  Ahwazi himself, mentioned Abū Ja'far al-Khāzin in one of his books.  Since Al-Khazهn died in 360 AH, it can be concluded that the final years of Ahwazi's life was contemporaneous to Biruni's childhood.  The only surviving work of Ahwazi is a book named "sharh al-maqala al-ashira min kitab uqlidus". Ibn Tufail (c. 1105 – 1185) (full Arabic name: أبو بكر محمد بن عبد الملك بن محمد بن طفيل القيسي الأندلسي "Abu Bakr Muhammad ibn Abd al-Malik ibn Muhammad ibn Tufail al-Qaisi al-Andalusi"; Latinized form: "Abubacer Aben Tofail"; Anglicized form: "Abubekar" or "Abu Jaafar Ebn Tophail") was a Moorish Andalusian Muslim polymath: a writer, novelist, Islamic philosopher, Islamic theologian, physician, astronomer, vizier, and court official. Chaman Jafar Beyg (Persian: چمن جعفربيگ‎ ‎ , also Romanized as Chaman Ja‘far Beyg and Chamanī-ye Ja‘far Beyk; also known as Chaman-e Ja‘far, Chaman-e Ja‘far Beyg-e Soflá, Chaman Ja‘far, and Chaman Ja‘far Beyg-e Pā’īn) is a village in Kakavand-e Sharqi Rural District, Kakavand District, Delfan County, Lorestan Province, Iran.  At the 2006 census, its population was 56, in 12 families. Ḥayy ibn Yaqẓān (Arabic: حي بن يقظان‎ ‎ ""Alive, son of Awake""; Latin: "Philosophus Autodidactus" ""The Self-Taught Philosopher""; English: The Improvement of Human Reason: Exhibited in the Life of Hai Ebn Yokdhan ), the first Arabic novel, was written by Ibn Tufail (also known as "Aben Tofail" or "Ebn Tophail"), a Arab philosopher and physician, in early 12th century Islamic Spain.  The novel was itself named after an earlier Arabic allegorical tale and philosophical romance of the same name, written by Avicenna (Ibn Sina) in the early 11th century, though they had different stories. Theologus Autodidactus ("The Self-taught Theologian"), originally titled The Treatise of Kāmil on the Prophet's Biography (Arabic: الرسالة الكاملية في السيرة النبوية‎ ‎ ), also known as Risālat Fādil ibn Nātiq ("The Book of Fādil ibn Nātiq"), was the first theological novel, written by Ibn al-Nafis.  This work is one of the first Arabic novels, may be considered an early example of a science fiction novel, and an early example of a coming of age tale and a desert island story.  This novel was written sometime between 1268 and 1277.  It was partly a response to the philosophical novel "Hayy ibn Yaqdhan" by Andalusi writer Ibn Tufail.
Answer: no