Dear aspirant 

Looking at the previous years counselling statistics I can say that yes you have a chance of getting a seat in NIT if branch is not your priority. With your rank you may get a seat in one of the following NITs

NIT Meghalaya

NIT Hamirpur

NIT Nagaland

NIT Calicut

NIT Silchar

NIT Sikkim 

BIT MESRA

Best of luck sachin for your future.