Hi there, yes there are several colleges in Chennai which offer MSc in Forensic Science. For your reference I am listing below some of the good colleges:

University of Madras - Institute of Distance Education Chepauk, Chennai.

Sri Venkateswara College of Engineering, Kanchipuram Kanchipuram, Chennai.

University of Madras Chepauk, Chennai.

Karunya Institute of Technology and Sciences Coimbatore.

Bharathiar University, Coimbatore

Also, yes it's possible to study forensic science without biology background. But if you belong to the biology background you have an edge over others in terms of foundation.
Hope this helps.