Hi!

Yes you can generally take admission in a BA program as a private student even if you don’t have the original Transfer Certificate  only a photocopy  works but you should have original migration certificate.The need of TC is totally depend upon the university you are applying. Generally migration certificate is more important for private universities.

You can visit the admission office of the college you are interested in and than you can tell them your situation.You can submit them the affidavit.