I am 16 me and my ex have just recently broke up, and we haven't talked in a few weeks. He said we probably shouldn't be friends, and I agreed with him, because at that time, I was emotionally distressed, and kept begging him to talk to me.

And now I have accepted that we have broken, and have given him space, and have had no contact with him. I am on Christmas break and I was wondering if I should try and talk to him when school starts again, and try and be friends. Because I still want to be with him.

No, bad idea to break NC after you agreed not to be friends. Look you begged and chased him to come back, and that didn't work, neither will chasing him to be friends.

Stay with NO CONTACT, and forget being friends, for your own good.

Seldom do boyfriend and girlfriend work out to be "friends" it is better to let it go

Since you 2 broke up,you 2 should not be friends any more. If you 2 really be friends maybe the one hurting is YOU