God, Man, and the World

Regarding the claim of divine non-intervention based on the fact that there are no gaps in nature. I wanted to ask. After all, we know that man's choices and actions affect the state of the world. That is, if according to the deterministic laws of nature, X should have happened in the world, then as a result of man's free actions, Y may happen. (Man pollutes and the world warms, man eats bats, changes the viral balance in the world and kills thousands of people in an epidemic, or simply murders and shortens lives that were deterministically intended to be long). The deterministic world changes frequently and daily as a result of man's free actions.
Can't we assume that some changes in the world may also occur as a result of the observance/non-observance of a commandment, or, (let's call it) the daily intervention of God?