Dream marking is a relatively commonly used fantasy element. It is also used in Sword of Truth series. The palantir scene in the lotr also resembles this scene. It was a good scene but I do not believe we have enough information to make interpretations.
Even though you left out a-song-of-fire-and-ice tag, we have some information in the books.
When Bran tried to talk to his father, Brynden said "He heard a whisper on the wind, a rustling amongst the leaves. You cannot speak to him, try as you might."
So I do not believe Bran cannot interact with anyone from the past. In my opinion, Bran being harmed/marked is only due to the magical nature of the Night King. It shouldn't happen with anyone non-magical, and we really have little information about it whatsoever.