You could pay the college fee for the remaining years..get a no objection certificate from both the colleges and then shift…but I’m guessing you can only shift to the other college provided there is a vacancy in that college and if ur cgpa is good..
Then there is mutual exchange..you will have to find someone in the other college (same branch as u) who would be willing to come to msrit
It would help in this matter if you know some influential person or big shot politician