Hi there,
Hope you are doing well.
62 percentile in JEE mains translates to around 7500 rank in ST Category, which is very far greater to fetch you a seat in any of NITs, but there are some GFTIs that you can get a seat in:-
1) Mizoram University:- EE, CSE,ECE,IT
2) HNB Gharwal University, Srinagar:- IT, ECE, ICE
3) Sant Longowal Institute of Engineering and Technology:- Mechanical, ICE, Chemical, Food Technology
4) National Insitute of foundry and Forge technology:- Metallurgy Engineering, Manufacturing processes
5) Institute of Technology, Guru Ghasidas Vishwa Vidyalaya, Bilaspur:- Chemical, IPE

Hope it would help.
Check out our JEE mains college predictor for a better view of possible colleges for you:-
https://engineering.careers360.com/jee-main-college-predictor

T hank You.