Hello there!
Yes, you can apply for Madhya Pradesh or any other state for State Quota Counselling. But, you must know the fact that, you would not be able to secure a seat in a Government Medical College of state where you don't have a domicile. You are considered eligible only for the Private Medical Colleges of other states. So, if you are willing to get admission in a Private Medical College of Madhya Pradesh then, you can surely apply for the State Quota Counselling of Madhya Pradesh.
For more information on expected colleges you can get on the basis of your NEET score, use this college predictor tool.
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
I hope this answer resolves your query.
Good Luck!
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