Hello Aspirant,

Yes, you may have chance of getting in a government college through your All India rank.If I consider previous year's seat allotment you may get ESIC medical College and hospital, Hyderabad. However it is subjected to change but getting a seat in government college is possible in your case.Do not be tensed and hope for the best.

Below is the link which contains the previous year's seat allotment you may find it helpful

https://www.google.com/amp/s/medicine.careers360.com/articles/neet-seat-allotment/amp

I hope this is helpful.
All the best!