Maybe.
He could also not be ready for a relationship and is just stringing you along.
Or he wants to break it off but isn't man enough to up and do it.
A lot of guys date just to have regular access to sex. Meaning you are there for his convenience, not yours. So it could be that.
He could also just be busy. I've been dating a girl for a year and sometimes we don't text for a few days.
So there's five ideas. I'm sure I could think of more. How do you know which it is? Ask him. Whatever he says, you can either believe it or not believe it. If you don't believe it, then dump him. One month isn't long enough to build a good enough relationship to where it's worth resolving trust issues.
But be aware that two days is not a long period of time. If I were dating a new girl and I found out she was this insecure, I'd probably let her go. I've got better things to do than babysit females.