hi Friend,
Sorry to say, You can not apply for upsc Exam.
>> For UPSC Exam minimum education qualification is Graduation in any field from Recognized University.
>> But your Graduation is not completed now.
Final Year Candidate can also apply from UPSC Exam, but candidate should verify before mains exam if he/she Clears prelims exam.
>> Age limit is 21-30 years
>> You can give Following times Attempt according to Category:
General Category: 4 Attempts
OBC: 7 Attempts
PH: 7 Attempts
SC/ST: No Limits
All the Best