I don't think that's likely unless there was a latent space of "Truth" which could be discovered through the right model.
That would be a far more revolutionary discovery than anyone can possibly imagine. For starters the last 300+ years of Western Philosophy would be essentially proven unequivocally wrong.
edit: If you're going to downvote this please elaborate. LLMs currently operate by sampling from a latent semantic space and then decoding that back into language. In order for models to know the "truth", there would have to be a latent space of "true statements" that was effectively directly observable. All points along that surface would represent "truth" statements and that would be the most radical human discovery the history of the species.