Yes, you can pursue a degree in both b.sc and m.sc integrated program. There some universities that offers student to complete both degrees in shorter period. Such universities are:

1. Indian institution of science education and research( IISERs) various campuses.

2. National Institute of science education and research (NISER) , Bhubaneswar

3. University of hyderabad, hyderabad

4. Birla institute of technology and science( BITS) . Pilani.

5. Amity university, noida