B.Tech Biotechnology

Yes, VIT Bhopal does have biotech courses, but let me make one thing clear. this is newest campus of VIT, and last year, students got CSE below INR 1 lakh rank easily, and I think it is not better option to take admission in Bhopal campus, because fees structure is similar to VIT Vellore and Chennai campus somewhat. And, it's infrastructure is not fully completed, and still it is under development.
Additional Information: Predict engineering colleges you can get on the basis of your JEE Rank: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=8321427.
If you think to take admission in VIT, then you should refer Vellore or Chennai campus now, and if you are not getting this campus, then you should try other university or college.

TNAU offers admission to B.Tech (4 years) and B.Sc (3 years) programme in various specializations for which the registration will begin from May every year. The classification of courses as per the university in different campuses along with subject requirements in 10+2 is as follows:
Eligibility
10+2 with 60% with Group- Mathematics, Physics, Chemistry and Biology or Mathematics, Physics, Chemistry and Computer Science. Admission to B.Sc. and B.Tech is entirely based on merit, no entrance test is conducted. Students with the highest scores are shortlisted for admission to TNAU. Students can apply for these courses by logging on to the official university website. A stipulated application fee of Rs.1000/- must be submitted by the candidates which can be paid online as well as offline.

Yes, you can study B.Tech Biotechnology after Diploma. Given below are the top and good colleges for B.Tech Biotechnology:
https://www.shiksha.com/b-tech/ranking/top-bio-technology-colleges-in-india/54-2-0-0-0?pageNo=1
There are various scholarships available for students given by the Government of India. State Governments and some colleges itself also give a scholarship to bright students. The fee Structure varies from college to college. General fee structure (average) is anywhere between INR 70,000-1,00,000 yearly. For open category, the fee to be paid is 100%, for OBC 50% and for SC/ST/NT 10-20% as specified. There is also a seat called TFWS I.e. Tuition Fee Waiver Scheme in this there are 2-3 seats in each branch. If you get this seat then you don't have to give the tuition fee up to the completion of course.