hello.

Why not. You can apply to stat counselling too. But why would you need to go for a state college when you have got a college in all India counselling. But if you think you will get a better course in state quota than in All India quota, then you might have to think to join a state college. Its upon you to choose but you can also get help of the below link to choose your most appropriate college using your Jee mains score.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

hope it helps.

good luck