Yes IIT Bombay offered M.tech in aerospace engineering along with following other departments:

Biosciences & Bioengineering
Chemical Engineering
Civil Engineering
Computer Science & Engineering
Earth Sciences
Electrical Engineering
Mechanical Engineering
Metallurgical Engineering & Materials Science (MM)
Cross Departmental Programme- Materials, Manufacturing and Modeling (MMM)
Center of Studies in Resources Engineering
Energy Science & Engineering
Industrial Engineering & Operations Research
Systems & Control Engineering
Environmental Science & Engineering
Centre For Technology Alternatives For Rural Areas(CTARA) (Technology And Development)


Admission criteria :
Students must have First class or 60% marks (55% marks for SC/ST) in Bachelor's degree ( B.E. / B.Tech. or equivalent) are eligible. Candidates with degree in Aeronautical or Aerospace and valid GATE score in any discipline are are eligible for admission to any of the four specializations (AE1, AE2, AE3 & AE4) .

with degree in other branches of Engineering (i.e. Mechanical, Civil, Electrical, Electronics, Instrumentation or allied branches) are eligible for admission to specific specializations of Aerospace Engineering, if they have valid GATE score in disciplines

Address
Indian Institute of Technology Bombay (IITB),Powai,Mumbai-400 076.
+91-22-2572 2545. Fax:+91-022-2576 4041