Reinstatement may be possible, but not guaranteed in this situation. It appears you have been out of status for over 5 months.  Under federal USCIS regulation 8 CFR 214.2(f)(16), an F-1 student is only eligible for reinstatement if all of the following conditions apply to the student:
Has not been out of status for more than 5 months at the time of filing the request for reinstatement (or the failure to file within the 5 month period was the result of exceptional circumstances and that the student filed the request for reinstatement as promptly as possible under these exceptional circumstances)
Does not have a record of repeated or willful violations of [USCIS] regulations
Is currently pursuing, or intending to pursue, a full course of study in the immediate future at the school which issued the Form I-20
Has not engaged in unauthorized employment
Is not deportable on any ground other than section 237(a)(1)(B) or (C)(i) of the Act
Establishes to the satisfaction of the [USCIS], in detail showing, either that:
The violation of status resulted from circumstances beyond the student’s control. Such circumstances might include serious injury or illness, closure of the institution, a natural disaster, or inadvertence, oversight, or neglect on the part of the DSO, but do not include instances where a pattern of violations or where a willful failure on the part of the student resulted in the need for reinstatement or
The violation relates to a reduction in the student’s course load that would have been within a DSO’s power to authorize, and that failure to approve reinstatement would result in extreme hardship to the student.
Hope you find this helpful. Contact your International Students Office to discuss reinstatement immediately.