Hello Aspirant

Yes, you have chances of getting a medical seat in government college of west bengal with a score of 370 marks ,sc category and state quota.

As, last year's cutoff for sc category reached to 500 marks in west bengal ;for being more sure about your chances,analyse last year's cutoff for sc category in government medical colleges of west bengal with the help of link mentioned below-

https://medicine.careers360.com/articles/neet-cutoff-west-bengal

I hope this information proves helpful to you.

All The Best