Hm. Kinda, though at least with the dream it was your brain generating it. Well, parts of your brain while other parts were switched off, and the on parts were operating in a different mode than usual, but all that just means it's fun to try to get insight into someone else's head by reading (way too many) things into thir dreams.

With ChatGPT, it's the output of the pickled brains of millions of past internet users, staring at the prompt from your brain and free-associating. Not quite the same thing!