Hi pal,

Yes you can.
The eligibility criteria for upsc is.
The candidate must hold a PASS BACHELOR'S degree from any of the Universities incorporated by an Act of the Central or State Legislature in India or other educational institutions established by an Act of Parliament or declared to be deemed as a University, under Section-3 of the University Grants Commission Act, 1956, or possess an equivalent qualification.

Candidates who have appeared or intend to appear for the final examination and are awaiting results are also eligible to apply for the Preliminary Examination.

Hope it helps Good luck.