It's a somewhat silly question (what punishment would you propose for noncompliance). The obvious legal answer is "no", because you are not obligated to do some

It's a somewhat silly question (what punishment would you propose for noncompliance). The obvious legal answer is "no", because you are not obligated to do something unless there's a law to that effect, and there's no law creating such an obligation because it would be silly. As an approximation, it might make sense to look as some analogues: the fifth amendment right not to incriminate yourself in a criminal trial, for example, speaks to a recognition of every humans' (even criminals') right to protect themselves. If you can't be forced to provide information against your interests, you can certainly not be obligated to inflict the ultimate punishment onto yourself. A very similar train of thought finds expression in German law, where it is not a crime to break out of prison, a fact often justified by reference to a fundamental human urge to seek freedom (any property damage, or injury inflicted on others is, however, criminal).