i am scoring 624 marks in neet gen cat from uo can i get govt medical college

Hello aspirant
Hope you are doing well
It is difficult to predict the cut off marks or ranks but according to previous year trends your expected rank would lie between 11860 - 14010 but it may vary every year depending on the following factors
1. Level of question paper
2. Total no of candidates
3. Category of candidate
4. Total no of seats
5. Marks obtained by students
Here is the link for the rank predictor.

You are asking about up
So as a general category candidate according to previous years the cutoff marks for government college in up colleges are as follows :
1. Autonomous State Medical College, Basti - 611 marks
2. Government Medical College, Badaun -614
3. Government Medical College, Jalaun - 618
4. King George's Medical University, Lucknow- 657
And 611 is the last cut off marks for general category And it was state medical College, Basti

So you have chances to get seat in government mbbs medical colleges.
Here you can check the previous year cut off marks
https://medicine.careers360.com/articles/neet-cutoff-up
You can use college predictor tool to know about the colleges you can get
https://medicine.careers360.com/neet-college-predictor

Hope it helps .
Good luck