Yes you can get admission in bachelor of Technology automobile engineering as a lateral entry student in various colleges and Universities of India. I am mentioning below the name of some colleges and Universities which are offering Bachelor of Technology automobile engineering in lateral entry option:

1. Delhi Technological University
2. Jamia Millia Islamia university
3. Lingayas University
4. Amity University
5. Sri Venkateswara University

Read more about courses for automobile engineering by clicking on mentioned below link:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.careers360.com/courses/automobile-engineering-course&ved=2ahUKEwjZtbqIydP1AhXZUGwGHbRSCdsQFnoECBEQAQ&usg=AOvVaw0EtQdrmGGIaMGPCID4rKt2