Yes there are fair chances of getting a government college with these marks as per the cutoffs details of previous years and even you didn't get one in all India quota you'll surely get college with  state quota Although the results aren't announced yet till then you could check what colleges you might get with this rank with the help of neet rank predictor.
https://medicine.careers360.com/articles/neet-cut-off
https://medicine.careers360.com/neet-ug-college-predictor?icn=neet-clgpd&ici=qna-answer
Good luck

Joint Entrance Examination (Main)

Application | Eligibility | Result | Preparation Tips | Question Paper | Admit Card | Answer Key | Accepting Colleges

Get Updates Brochure

National Eligibility cum Entrance Test

Eligibility | Application | Result | Cutoff | College Predictor | Counselling | Answer Key | Accepting Colleges

Get Updates Brochure