Chubarov was born on September 22, 1957 in Samarkand, Uzbek SSR in the family of Crimean Tatar Abduraman Seitasan oglu Chubarov (1931-2014) who was deported in 1944 by the Soviet authorities from his native village of Ay Serez (today Mizhrichia, Sudak Municipality). In 1968 the Chubarov family was allowed to return, but not to the Southern Coast of Crimea so the family settled in Pryvilne (Krasnoperekopsk Raion).