Yes, you can definitely write the post graduation common entrance test examination for getting admission in aerospace engineering branches in different colleges of Karnataka.
Some of the best colleges providing this degree in Karnataka are- RV College of Engineering, Manipal Institute of Technology, BMS College of Engineering, Indian Institute of Science, etc.
For more details, visit https://engineering.careers360.com/colleges/list-of-aerospace-engineering-colleges-in-karnataka
Hope it was Informational!!