Can i got private college in m.p neet score 402 state rank 3750

Hello,.
You have not mentioned your category any where. Your category plays a very crucial role in your admission to any college. Neither did you mention the course in which you are seeking admission ,so it's difficult to predict anything for you. Keeping the general trends in Mind, I believe this score is enough for admission in a private college for almost any medical course. But do remember that cutoffs are expected to rise this time. So not much can be said.
You can get an idea about the college which you might get by browsing the link given below.
http://www.medicine.careers360.com/neet-college-predictor
Good luck