Hi, 

With your rank and category you do stand a chance of getting a seat in one of the AIIMS as per last years cutoff.

AIIMS Delhi would be difficult but you can get in one of the other aiims. 

Last year the closing ranks were:

Aiims, Bhopal-1516

Aiims, Patna-2048

Aiims, Rishikesh-1664

Aiims, Raipur-2074

Aiims, Bhubaneswar-1453

Aiims, Nagpur-2168

Aiims, Guntur-2212

Hope it helps 

All the best