Yes.

There are few Govt colleges which offers BCA -

J D Women's College, Patna

Tilak Maharashtra University

Ness wadia college of commerce

Vidya Prasarini Sabhas Arts, Science & Commerce College, Lonavala, Tal. Maval,dist.pune

Symbiosis Institute of Computer Studies and Research

Subhadra Education Societys S.n.b.p.college, Yerwada, Pune etc.

Good Luck!!!