Hello Aspirant ,
No I think you cannot change government college to Indian Institute of Technology (IIT) or National Institute of technology (NIT) .Why because IIT or NIT seats are based on JEE main and advanced scores and JOSSA counseling.
So, if you want to change your government college to any other college my suggest better to change in first year only . But you get migrate to same affiliation college under same university . they may be ask pay first year fees to get admission in second year.
I think this answer will help you lot.
All the best !!!
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