Yes 

For sure you can go for it ,but provided there are some conditions posted by some of the college and university if you satisfy that you can easily enter the league.

Dont get upset because these conditions are given by very few college but in maximum college you can surely opt for this branch of engineering.

Here are some of the college which offer the course that are:

• Tamil Nadu Agricultural University - [TNAU] Coimbatore , Tamil Nadu (India) ...
• Vellore Institute of Technology - [VIT University] Vellore , Tamil Nadu (India) ...
• SASTRA University. ...
• Amity University. ...
• Singhania University. ...
• Shobhit University. ...
• CMJ University. ...
• DY Patil University.

Dear Neha !!
The eligibility criteria varies college to college like if student wants to take admission in  Amity university then PCM/PCB with 60% should be there or in case of DY Patil college 12th Std., HSC, CBSE with Physics, Chemistry, Biology taken together with 50% marks for general category and 45% for reserved category would be required. So yes you can do bioinformatics from some colleges.
And these are the few colleges which offer this course:

• Tamil Nadu Agricultural University
• SASTRA University
• Amity University
• Sam Higginbottom Institute of Agricultural Technology and Sciences
• Sathyabama University
• Aryabhatta Knowledge University
• Agricultural Engineering College and Research Institute
• SRM University
• Graphic Era University
• Padmashree Dr. DY Patil University

All the best.