Hii Bhuvan

Yeah you may able to write those exams but that doesn't effect a lot infact taking a drop for 1 year inorder to do prepration for these exams will be the best one rather than joining a college because if you join any engineering college then after 1 year you can't able to write those exams well because your 50% time will be wasted due to college. As faar as writing the KVPY exam you are not eligible for that.

All the best

Yes definitely you can write these exams,  and while interview you can show took admission in other College while you were preparing for the exams
It will be considered as a plus point believe me.
IT IS a good decision that your talking, don't worry!!
GOOD LUCK

VIT Vellore

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