If he disappears for a day or more at a time, and you’ve seen him hunt successfully, then he will survive when you leave.
Naturally, he will be upset at the change in his routine and no longer having you as a source of easy food, but he will adapt and get into a new routine. This may mean moving to a territory with more wild food or moving in with another human, or he might be just fine where he is and waiting for you to return. Cats are hard to predict.