Hello, 

Yes you can get admission in government medical colleges under state quota. You have not mentioned your neet rank ,so it is very difficult to predict anything .

Browse the link given below to check the college you can get on the basis of your marks-

http://www.medicine.careers360.com/neet-college-predictor
http://www.medicine.careers360.com/articles/neet-cutoff-west-bengal/amp
This is just a prediction based on previous year records. The cut off changes every year depending upon the difficulty level of the paper and number of students who appeared in the entrance exam


Hope this helps, 

Regards!