Hello there. Hope you are doing good. I would like to tell you that yes you are eligible for CMAT afte having a degree in BA Distance program. The eligibility criteria of CMAT says :-

• Applicant must be a citizen of India
• Graduates in any discipline can apply for CMAT exam
• Final year students of Graduate Courses (10+2+3) whose result will be declared before commencement of admission for academic year 2019-20 can also apply for CMAT exam

For your reference, I am sharing the official website link so that you can get additional information.

http://www.aicte-cmat.in/college/eligibility.aspx

I hope you found this answer helpful. Good luck for your future.