Is it normal to feel unreal as a child?

I'm pretty sure I have depersonalization disorder, or something like it. Google it if you don't know what it is. But is it normal to look in the mirror as a kid and feel like you can't recognize yourself, or that you are unreal or in a dream? Anyone else do this regularly as a child? It wasn't just a one time random weird thing I did, I've felt that way my whole life.