Hello

Yes you can apply for the private medical colleges in any state through the All India Quota.  Seats in private medical colleges in Karnataka are allotted by KEA. At the time of counselling you will be asked if you want to g o for Government Colleges or Deemed Colleges or Private Colleges during AIQ counselling. From there you can choose the Private or Deemed Colleges option.

Other than this you could have gone for COMEDK to get admission in Karnataka private medical colleges.