Hello Lemons246
Welcome!
It's quite clear that this young man likes you, but is he attracted to you? ~ That's the big question.
You could leave it for a while longer and just see what happens, or you could ask him.
Ask him to go on a date.
Ask him where he feels your relationship is.
I know that this could be difficult ~ especially if it frightens him off.
Maybe he is shy.
Maybe he's a 'gentleman', who doesn't touch girls.
Maybe he just wants to be friends and doesn't want to hurt you, by rejecting you.
Are you going anywhere, soon, where you need a date, and you could ask him to go with you?
How long have you actually known him ~ not too long, presumably?
Are you both the same age?
Are you doing the same course?
How much time do you spend together at college?