It does not require a supernatural entity. But chance is pure abstraction. My point exactly, it can be defined, predictions can be made. Chance is a non-entity. It may be a useful statistical concept, but to use it as a cause is to say that there is no cause.
Chance has no material content.
Take for example, a coin toss. Chance cannot influence - it is merely a description of mathematical possibilities. Arguing for chance as a cause is arguing against logic. Ah, but that assumes that there is a 'cause' in the meaning you are using it. Random variation or chance is a non-being.