Yes, you can apply for admission to colleges for the 2nd year of your MA if you have completed the 1st year at the University of Mumbai. However, there are a few considerations:

1. Transfer Policies: Each institution has its own transfer policies and may have specific requirements or limitations regarding admitting students into the second year.

2. Credit Transfer: Some colleges may allow you to transfer credits from your previous institution. You'll need to provide transcripts and possibly course syllabi for evaluation.

3. Availability: Not all colleges may have openings for transfer students in the second year, so it's essential to contact the admissions offices of the institutions you are interested in.

4. Application Process: You will likely need to apply through their admission process, which may include providing academic records, a statement of purpose, and meeting other criteria.