M.Com

Yes, you can do MA in psychology after pursuing graduation in Commerce.
M.A. in Psychology is a postgraduate course in psychology of two years duration which studies human behavior and human psychology.It is concerned with thorough and comprehensive study of psychology as a discipline. Admission to this course is made through an entrance test conducted by the respective universities.
Minimum eligibility required to get admission for this course is a graduation degree in any stream from any recognized university. However, there are some reputed institutes that ask for an honors degree in psychology or has it as a subject in the graduation for admission in M.A. in Psychology.

There are some reservation criteria in UGC NET Exam for SC/ST/OBC/PWD and Transgenders. If you qualify the UGC NET Exam with having 54% aggregate marks in postgraduation, it is fine. Know how to become a lecturer in India - https://mahawarravi036.wixsite.com/studentexamalert/single-post/2018/07/06/How-to-Become-A-Lecturer-through-UGC-NET. Here are the eligibility criteria of UGC NET Exam -
You must have pursued postgraduation in one of the or related to 81 subjects conducted by NTA NET. You must have secured minimum 55% aggregate marks in postgraduation (5% relaxation for SC/ST/OBC/PWD/Transgenders). There is no age limit if you want to apply for the post of Assistant Professor. But for JRF the maximum age limit is 30 years.