LLMs by themselves are not able to but you are missing a piece here.

LLMs are prompted by humans and the right query may make it think/behave in a way to create a novel solution.

Then there's a third factor now with Agentic AI system loops with LLMs. Where it can research, try, experiment in its own loop that's tied to the real world for feedback.

Agentic + LLM + Initial Human Prompter by definition can have it experiment outside of its domain of expertise.

So that's extending the "LLM can't create novel ideas" but I don't think anyone can disagree the three elements above are enough ingredients for an AI to come up with novel ideas.