Yes, you can  leave your B.Sc. Nursing program from a private college if you get selected for the MNS (Military Nursing Service) program.

Getting selected for MNS involves a written test, interview, and medical examination. The competition can be high.

Review your college's policy on leaving a program mid-semester. There might be fees, penalties, or refund procedures you need to follow. If you decide to leave, inform your college administration formally through a written application.

In some cases, if you get selected for MNS and your B.Sc. Nursing program follows a recognized curriculum, you might be able to transfer some credits to the MNS program (if applicable).

Go ahead and apply for the MNS program. There's no harm in trying. While you wait for the MNS selection results, it's wise to continue attending your B.Sc. Nursing classes. If you get selected for MNS, then you can decide whether to leave your B.Sc. Nursing program based on the college policy and your comfort level.

I hope it helps!