No, NITs don't provide Aerospace engineering.
You can check the top colleges for Aerospace engineering below
Indian Institute of Technology Madras
Indian Institute of Technology Bombay
Indian Institute of Technology Kharagpur
Indian Institute of Technology, Kanpur
SRM University, Chennai
To check complete list you can refer below link
Top Engineering colleges for Aerospace
Good Luck!!
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile