Is it possible he just needs space?

So my boyfriend and I have been together for almost two weeks. I do think our relationship got to moving too fast. I told him in the beginning I was okay with seeing him 3 days a week. We just got so comfortable with each other that we were seeing each other like 5-6 days a week, and several of those nights I stayed the night. I didn't realize til today the image I put off. I would come to his place with my bag packed even if I only intended on staying a week. I noticed probably 4-5 days ago he started becoming distant. I had expressed my concern to him and he said it had nothing to do with me. Yesterday he texts me a little while after I left and was like, Just wanted to say thanks for coming over and for dinner and everything. I really enjoyed it. I'm also sorry I've been distant and what not. I promise it's not you. I just have a lot going on right now and on my mind and I just need to sort it all out. If you would just bare with me, I understand if you can't". I even asked him if he was having doubts of being in a relationship right now, so I offered him an out. He said he did not having any doubts about that and just needs to sort things out. He also added that he does not want to hurt me or make me feel otherwise.

So I'm going to give him some space and just wait for him to come around and talk to me. Would a guy say he wanted to be in a relationship with you even if they didn't? I would think if he wanted an out and I gave him that option, if he wanted it, he could take it. I figure if he hasn't come around in 2-3 days, then he probably won't. But I do plan on talking to him (if he does come around) that I think we should go back to only seeing each other 3 days a week, and not spending the night at his house for a while. I wasn't aware the image it was putting off. It probably made it seem we were living together or super serious.

Opinions?