Work and study at same time

Contact your HR and the Private College.

The regulations in Government mandate seeking prior permission from the competent authority, and many institutions seek no-objection certificate before giving admission to such employees/students even in Evening colleges.

To my knowledge there are no such regulations even in Government. But permissions are sought and granted, not always.

As you are in private employment, it is important that your performance and devotion to duty is not compromised. If feasible, take the HoD into confidence.