Dear Prabhakar,

Yes, you can choose automobile and automotive branch in UG programme.

You can check the colleges below

VIT University, Vellore

Manipal Institute of Technology, Manipal

SRM University, Chennai

College of Engineering, Pune

Jadavpur University, Kolkata

To check the complete list you can refer below link

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-India?f%5B0%5D=sm_college_course_level%3AUG&f%5B1%5D=sm_college_degree%3AB.E%20/Btech&f%5B2%5D=sm_course_offered%3AAutomobile%20Engineering&f%5B3%5D=sm_course_offered%3AAutomotive%20Engineering

Good Luck!!