Yes you can get admission in private colleges of india.
There names are
Thapar ,jss noida,Jaypee engineering college, Kiit through lateral entry many more private colleges are there like vit Vellore,Chennai ,SRM COLLEGES,UPES DEHRADUN.

If you have appeared in any of these colleges exams then you can get admission there otherwise you have to give huge donation amount to get admission.

If you have appeared for any government exams then you can take any nit otherwise choose private college.