Yes

PlayStation has a feature where each account has a “primary console”. Games that are purchased on an account can be played by that specific account on any console, or can be played by any account on the primary console.

Everyone plays on the same console? Great, that should be everyone’s primary console. So offspring A buys a game on their profile, offspring B can play it.

If offspring A goes somewhere and logs into their account on another PS5 console, offspring A can download and play their game, but no one else can play it on that other console.

If offspring B plays a game on their account and creates a save, offspring A can’t log into their own account and mess with offspring B’s save.

There are multiplayer components, but nothing will stop you from being able to do anything in the game as a single player