KVPY examination can only be given when you are in the first year of your Basic Science course. The group is called SB. The eligibility as per the KVPY 2021official website is provided below:

Due to prevailing COVID-19 situation, as one-time measure, students who have passed  XII Standard Board Examination and eligible to enroll in the 1st year B.Sc./B.S./B.Stat./B.Math./Int. M.Sc./Int. M.S. during the academic year 2021–22 are eligible to appear for the aptitude test. The student should produce a study certificate of 1st year  B.Sc./B.S./B.Stat./B.Math./Int. M.Sc./Int. M.S once they are selected as a provisional KVPY fellow. Moreover, the fellowship of the students selected under this stream will be activated only if they join an undergraduate  program in Basic sciences (B.Sc./B.S./B.Stat./B.Math./Int. M.Sc./Int. M.S) in the academic year 2021-22 and secured a minimum of 60% (50% for SC/ST/PWD) marks in aggregate in 1st year of B.Sc./B.S./B.Math./B.Stat./Int. M.Sc./Int. M.S.

So technically you aren't eligible for the KVPY examination.

To know more about KVPY visit the link below:

https://school.careers360.com/exams/kvpy

For official website visit:

http://www.kvpy.iisc.ernet.in/main/eligibility.htm

I hope this answer helps. All the very best for your future endeavors!