All the time, yes. But you have to keep two things separate in your thinking:

- Prompted as in prompt made of tokens -> for LLMs, tokens double as a clock signal. Time only flows when tokens are pushed through them.

- Prompted as in specific request placed in the stream of tokens -> Yeah, they do that all the time whether it's getting into infinite loops of repeating same pattern, or suddenly deciding to do things based on inputs they normally ignored.

Also don't forget that everything is a "prompt" for LLM. All input tokens end up in the same place.