If a guy said that I can come over anytime, does he really mean that?

Anonymous
I have a crush on this guy. It may or may not be neutral; I get this vibe of uncertainty and he might like me a little bit. Anyways, he said that I have the key to his place, I can come over any time. That was a week ago.

I'm very shy and uncertain about just showing up. I've texted him yesterday, asking if it was okay. Got no reply as of yet. I'm not sure if I should just show up or not go... I've been trying to get him alone for a while now but he's always busy. I'm afraid he is A) busy today and won't be home, B) has his phone off/away and if I show up, it will be creepy and awkward, C) he's not interested and this is still creepy and awkward. He seems to go MIA on the weekends sometimes. I know he was schedualed to get back from a business trip yesterday. I was planning to go by after work with the disguise of, "I'm seeing if staying at your place on such and such days will help me with school". (College student)
If a guy said that I can come over anytime, does he really mean that?
2 Opinion