Hello,
Generally, there are less cases of students migrating from government college to private college but since in the current situation there are some very good private engineering colleges that provide excellent education for engineering courses, these cases are growing quite rapidly.
Yes, you can migrate from government college to private college, Provided you either have to give an entrance exam of your desired college or have to give JEE mains as there are some private engineering colleges that accept the JEE mains score for entrance.
There are various private engineering colleges that provide direct admission based on your 12th boards percentage, so, that also might be considered.
Therefore, you will be able to migrate from government engineering college to private engineering college.
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