There are many Private colleges which offer this stream to undergraduates, But apart from them, you can do Engineering in Biological Sciences from IITs and then switch to genetic Engineering in Postgraduate from world-class universities. In IITs, you will get an opportunity to carry out research on Genetic Engineering even at Undergraduate level and If you become favorite of some Professor and got LoR then it would be very easy for You to get admission into worlds Top Universities for your interest. If you are considering Private Institutes then Below is the list of some of the Top private Institutes for Genetic Engineering.

https://engineering.careers360.com/colleges/list-of-genetic-engineering-colleges-in-india