It used to be possible in the earlier versions of Photos, before iOS 12 and macOS 14.
In the older versions we could simply hide a photo. It has been removed from the library views (Moments, Recents, All Photos), but remained visible in the user defined albums. This made it easy to distribute photos across albums by hiding the photos, that had been added to albums. But quite a few users complained, that "hidden" photos kept popping up in the albums and where not really hidden. They wanted a tool to keep confidential photos completely secrete. Apple listened and changed the behaviour of "hiding" since iOS 12. It is no longer a tool to weed out the Photos views by hiding photos, we are finished with organising, but it is now a tool to keep photos completely secret. A hidden photo is now completely invisible and can only be viewed in the Hidden album. And now the users are complaining that have no longer a tool to manage the library albums Recents, Days, Imports, All Photos, by temporarily hiding a photo, because hidden photos will vanish from all user defined albums as well.
It would have been better, if Apple had left the "hiding" as it has been and would have added a second tool to mark photos as "confidential" to hide them everywhere.