No. For appearing for State Counselling, you need to hold the domicile of the State. It holds the same for seats in Government Medical Colleges and Government Quota seats in Private Medical Colleges. But you can participate in the State Counselling for Management Quota of Private Medical Colleges. You can appear for All India Counselling for seats in Government Medical Colleges of those States that you do not hold the domicile of. That is the only way to study in a Government Medical College of other State whose domicile you do not hold.