Hello aspirant!
Hope you are doing well.

Yes, Mp state candidate is eligible to take part in Up counselling. Because Up is an open state for 100% seats in management quota. You can't take admission in 85% state quota for government colleges. You can only take admission in Private colleges for Mbbs and Bds.

There are total of 7528 Mbbs seats in Uttar Pradesh.

Here you can check the cutoff of Uttar pradesh :-
https://medicine.careers360.com/articles/neet-cutoff-up

Further you can know more about your admission chances by going through the links below:-

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

Neet rank predictor tool
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_rp

Hope this helps you
All the best