Yes, there are multiple colleges in Mumbai based on academic reputation, placement, and higher faculty.  there are  some top colleges for Btech in Mumbai listed below:

1. Institute of chemical technology, mumbai
2. Indian institute of technology (IIT Bombay)
3. Veermata Jijabai technological institute, Matunga
4. Sardar Patel institute of Technology, Andheri
5. Thadomal Shahani Engineering College, Bandra
6. Dwarkadas J. Sanghvi College of Engineering (DJSCE), Vile Parle
7. K.J. somaiya college of Engineering, Vidhyavihar
8. Fr. Conceicao Rodrigues College of Engineering, Bandra
9. Rizvi college of engineering, Bandra
10. Bharati Vidyapeeth College of Engineering, Navi Mumbai

I hope this will help you out. All the best.