Unfortunately no National Institute of Technology, or NIT offers Aeronautical or Aerospace Engineering in India. Few of the top IITs like IIT Kharagpur and IIT Kanpur offer Aerospace Engineering in India. You'll have to crack JEE Advanced with a good rank to take admission in these courses. The cut offs of the same program are as follows:

IIT Kanpur: 3809 (JEE Advanced closing General)

IIT Kharagpur: 4130 (JEE Advanced closing General)

Hope I have answered your question. All the best!