No dear, I don’t think this kind of admission procedure is available in BITS Pilani. Other than BITSAT score, the topper of any of the state boards are only eligible for admission. However, if you are not eligible for BITS, no need to be dissapointed; do well whichever college you are getting into. At the end of the day it’s your knowledge and skills that will get you what you want to achieve.
Wish you a very very bright future