Is it normal he suddenly cut me out of his life?

Its only been 2 days jesus dont be soo clingy already.. If he doesnt reply in a week Id say just move on. Actions do speak louder than words.

I certainly agree with @Mixwell above comment about the number of days. It has only been 2-days! In 2-days maybe he was feeling under the weather; cold, etc. Now if he is just avoiding you after a week, and not taking your calls I would worry. Sounds like he "wants" you to miss him. Toy-ing with you, or worst just playing relationship games of seduction. [ Love'em than Leave'em]. For you, hope this is not the case.

With that said lets talk about real things to chat about. Even if it has only been 2-days with no contact and you are use to daily talks, lots of interaction in your relationship, we can't escape how we feel. Because it bothers you so, there must be something to it. It would be okay to reach out to him to ask....why the avoidance lately? Is anything wrong with him? If he refuses to provide a response, or gives you total BS* response without really responding, I would find a new mate.

Not easy to have your emotions toyed with, but you can and will overcome this. What helps me is to ask one question of myself..........."Do I really want to be in a relationship with someone who does not want me?"

I usually come to a NO answer pretty quickly. It only took me a Year...:)

Hang in there. I love questions like this. Relationships are so important but the hardest [ emotionally ] to deal with and no one ever has the answer for when you have a broken heart.

It has been a week now, has he called? Have you called him? Was he sick with a cold or something? What happen? What have you discovered since your post?

Hope all is well

Maybe its similar to the situation at the end of "The Amazing Spiderman"

It seems like he is just using you as something to rub up against. Best thing you can do, is move on. Try and find someone who wants to see you, not just text you when he wants sexy times.

Such sudden rejection not normal.

I don't presume to understand the way you young people relate to each other by texting and tweetying, etc. I find it very impersonal and shallow. It therefor seems normal that terminating these exchanges without much care would be the natural end to such an impersonal and shallow interaction. However, that does not mean that you all should be cruel to one another, though that does seem to consistently be the eventual outcome.
Try dumping the electronic relationships for the real face to face kind and perhaps things will have a different outcome.

I've had a guy friend do this to me and it sucks so badly. Unfornately only time can heal that wound.

People lose interest. That's life. He's not worth holding onto, if he wanted a relationship you two would have been in one by now. Theres a good chance you're not the only girl he's talking to, even if he says you are.

It must feel awful :( maybe it's moving to fast for him? Or he's worried that he might get to close and lose you?
I think what I would do if I was you is tell him how you feel and ask for an answer as to what he wants and then you know where you stand.