Not really. You can leverage randomness (and LLMs absolutely do) to generate bespoke solutions and then use known methods to verify them. I'm not saying LLMs are great at this, they are gimped by their inability to "save" what they learn, but we know that any kind of "new idea" is a function of random and deterministic processes mixed together in varying amounts.

Everything is either random, deterministic, or some shade of the two. Human brain "magic" included.