I doubt it would be possible since the screenshots are stored on your local client and the game would need some way to share the specific images you've picked with other players visiting your housing even when you're offline. The game's data storage would be even more clogged if it had to include every screenshot a player wanted to display in their housing.

You could make suggestions of different views to get added to the Joyous Painter's selection. While most of them are from the Sightseeing log, a few are not.