Yes, they do provide robotics in NITs. And below I am providing you other options as well for the same -

BEST COLLEGES FOR ROBOTICS -

IITs in Mumbai, Chennai, Delhi, Kanpur, Kharagpur.
Indian Institute of Science, Bangalore.
University of Hyderabad.
Jadavpur University.
Birla Institute of Technology and Science.
Roorkee Engineering & management Technology Institute, Shamli

Hope this helps!!!