Nope! For the MSc Astrophysics and Astronomy the eligible branches are:

BE/B. Tech or equivalent degree in Aerospace Engineering, Aeronautical Engineering, Mechanical Engineering, Chemical Engineering, Civil Engineering, Electronics and Communication Engineering, Electrical Engineering, Electronics and Electrical Engineering, Electrical and Electronics Engineering, Electronics and Instrumentation Engineering, Instrumentation and Control Engineering, Physical Science, Engineering Science , Instrumentation Engineering, Engineering Physics.

OR M.S./ M.Sc. in Physics, Space Physics, Space Science, Space Science and Technology.

Thus you need to have MSc in Physics to apply for the program in IIST through GATE in any one of these subject: Physics/Electronics and Communication Engineering/Electrical Engineering/ Engineering Sciences. b. Joint Entrance Screening Test (JEST) in Physics c. UGC NET (Physical Sciences).

To know more you may visit the link provided below:

https://www.careers360.com/university/indian-institute-of-space-science-and-technology-thiruvananthapuram/ms-astronomy-and-astrophysics-course

I hope my answer helps. All the very best for your future endeavors!