No Mumbai University didn't offers any such courses.

For the course list of Mumbai University you may visit:

http://archive.mu.ac.in/courses/Index-1.pdf

BSc BEd is offered by the Institute of Advanced Studies, Churu. To know more you may visit:

https://www.careers360.com/university/institute-of-advanced-studies-in-education-churu/bsc-bed-course

Also for some other BSc BEd Integrated course :

Amrita Vishwa Vidyapethaam University, Mysore, Karnataka

Madhav University, Rajasthan

Arunachal University of Studies

Goa University

I hope this answer helps. All the very best for your future endeavors!