Could you use AI to come up with an unsolvable crime?

AI has all sorts of capabilities; it builds on, analyzes, and then develops approaches to solve certain problems posed to it.

Could a person ask Bard (or chatGPT, or any of the LLM-based AI engines) to come up with a crime that, based on the AI analysis, can’t be solved?

Is there anything inherent in AI structure that would act as a guard rail against criminality? Would the type of crime make a difference (murder, embezzlement, theft, fraud, etc.)?

Is AI smart enough to plan the perfect crime?