Dear aspirant.

Yes of course, some private medical college offers management seat . You can easily get a seat in private medical college.

To the list of college you can get according to your rank, category, state and score. You can use neet ug college predictor tool. Link is given below.

https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Thank you