As you want to get the details of Automobile Engineering after 10th so here is the information of the same for you:

Yes, you can do the diploma course in automobile engineering after 10th.
After completing diploma you can further do B.E in automobile engineering by entering as a lateral entry student.

However if you can manage to give your 12th boards from open ,and get Certificate with 60%marks aggregate and 50% in all other subjects then you may also you can get admitted to a school specially ment to teach engineering like, some schools in Faridabad which teach you engineering stuff and side by side u can give your 10+2 boards

That is not possible.

So wait patiently till you complete your 12th.There is a right time for everything.