Hey Aditya.
Yes you can first of all your package ( salary) depends upon your skills and personality.
Your college tag is just a plus point for you .
So don't think that if you are in private college you can not earn high packages.
Some private colleges have good and even very high packages.
So good luck.

Hey Aditya.

Yes, Various students who pass out after Btech from Private Engineering colleges also are highly paid. But that not only depends on your college but also on your skills, knowledge and how you perform. The package that you get depends on various factors- A well reputed college even though it is private, might give you better access to good companies. Other than that your performance would decide what package you grab. Make sure you look into the past year placement records of colleges so that you have an idea about the opportunities it might provide you with.

Best of luck