Absolutely. It's why asking it for facts is inherently bad. It can't retain information, it is trained to give output shaped like an answer. It's pretty good at things that don't have a specific answer (I'll never write another cover letter thank blob).

Now, if someone were to have the good sense to have some kind of lookup to inject correct information between the prompt and the output, we'd be cooking with gas. But that's really human labor intensive and all the tech bros are trying to avoid that.