I often have dreams and weeks or even months later, the same thing happens that happened in my dream. Only a part of it thought. It's weird, when it's actually happening I can tell you exactly what's about to happen. Coincidence? maybe, but it's happened to me for too often for me to even think it's a coincidence. I think the weirdest part of it all though is actually recognizing the fact that you did dream it weeks before. There are plenty of things that I can't remember from weeks ago, but this one insignificant dream, I will recognize in an instant. I don't consider myself to be "special", I think it's just that fact that I recognize it and maybe others don't.
Another little tib-bit is when my mom was little she could speak fluent french in her dreams and be able to understand it, but when she was awake she wouldn't be able to speak or understand one bit of it. And this didn't happen just once, It was something that reoccured very often. So yes, I believe in it.