Hello Aspirant 

Yes, you have chances to get a medical seat in government colleges of Kolkata with 6032 rank, st category and state quota, if we keep last year's cutoff in mind.

You can get a better view of your chances to get a medical seat, with the help of the list of colleges and their last year's cutoff in West Bengal, mentioned in our link below-

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

I hope this information proves helpful to you.

All The Best