Hiya, not_josh, and welcome!

I would say that it's definitely possible. I had an experience recently where my cell phone rang in real life, and in my dream I heard it ringing and pulled it out. The freaky thing was that in my dream, the same person was calling me that was actually calling in real life.

But I've seen many other members talk about how a song from the radio, or characters from a TV show appeared in their dream because the radio or TV was on while they were sleeping. In fact, I would venture to guess that this is fairly common.