Yes, you have chances to get private colleges based on your marks.

To check your expected rank you can use below rank predictor

NEET UG Rank Predictor

Good Luck!!

Your expected Rank based on your score will be ranging from 38200-38600.You have less chances in 15 % quota seats, but you can try in state level colleges.

There are less chances to get admission in govt state level colleges.
Good Luck.