There were some experiments with embodied LLMs on the front page recently (e.g. basic robot body + task) and SOTA models struggled with that too. And of course they would - what training data is there for embodying a random device with arbitrary controls and feedback? They have to lean on the "general" aspects of their intelligence which is still improving.
With dedicated embodiment training and an even tighter/faster feedback loop, I don't see why an LLM couldn't successfully pilot a drone. I'm sure some will still fall of the rails, but software guardrails could help by preventing certain maneuvers.