Ahmedabad

Your friend have to wait until ACPC publishes vacant seats info of each colleges. Then at the end of regular admission process, ACPC gives permission to colleges to fill in vacant seats without CMAT. At that time you may apply for MBA without CMAT.
Keeping reading newspapers and visit acpc website for regular updates.

There is no college named "B.K.Modi". In Ahmadabad there are two colleges, one with the name B.K. School of Business Management and other is B.K.Majumdar college.
Based upon your CMAT score try for following colleges.
1)B.K.School of Business Management
2)GLS
3)H.L.College of commerce
4)Ahmadabad University
5)B.K.Majumdar college.
Thanks

Use the links mentioned below for rank and colleges through JEE :
https://www.shiksha.com/jee-mains-college-predictor

Kindly refer to the links below:
Admission procedure: http://www.actorprepares.net/admission/formalities/
Fee : http://www.actorprepares.net/admission/course-fees/

Institute of Technology - Nirma University (ITNU) is a good option to pursue engineering in Ahmedabad.

Dear Milan,
Migration from one university to another depends upto rules of respective universities - where you are currently studying and where you want to get admission. so suggestion is contact respective department of your university where you are studying and the university in which you want to get migrated.
good luck