I got 63 percentile in jee main paper 2 in general category will I get into any government college
It would be difficult to provide you the exact qualifying score or admission cutoff as JEE Main is being counducted twice by NTA for the first time and rank will be based on NTA percentile score which will be decleared in the month of April after the both of the session ( Jan & April).
As a total No. of 1,45,386 candidates had appeared for January Session, Using the Formula (100-your score)* 1,45,386 / 100- Your Expected rank will be 53,792. With this rank the chances are less to get a seat in NITs.
You can also prefer the previous year cutoff to take an idea about.
https://engineering.careers360.com/articles/jee-main-cutoff-for-b-arch-b-planning
I would suggest you to appear again for the exam.
Good Luck!