Can people have the same dream?

Yeah, I myself have had this experience. Me and my friends often commune through dreams to save moby credit!

Yes.

I had just had a terrible nightmare that my children were burning in my home! I suddenly felt a nudge, and as I woke up, my son was standing next to me and says "Mom, its alright, I got me and sis out the back door" ! I was totally freaked and so relieved that my son could be there to help, in any dimension! Whew!

Also, when he was only a toddler, I had been talking in my sleep, and as I was waking and still talking, my small son had been lying next to me and says the last Word of my sentence for me! And it was a very long, difficult Word, that he couldn't have possibly known! It was utterly astounding! He also walks in the door after school now, singing a song that I had had stuck in MY head all day, even while taking a shower! Telepathy? WoW !