From what I understand, yes. For instance, my brothers have the same names in dreams and here, and my father's got the same occupation - most everything is the same when it comes to my family, actually. I even had a nanny growing up here, though not a dog named Nana, admittedly. And people receive physical objects from the places they dream about too.
Well, I suppose you never know! And it was interesting, in a way. The time difference is quite substantial and I was...younger then.