Is there something like a game storage?

The closest thing to a "game storage" is the Game Explorer (or asset manager for beta users). In this explorer, you can view places in the game, upload new places from file, and persist images/meshes/packages across all places.

If you were looking for something like the ServerStorage service where you could store whatever objects you want across all places, then there is nothing like that. You can use Packages, which are basically models that preserve the hierarchy of objects across the places where the packages are inserted into. With these packages, you can mass-update them by selecting "Update All" on the package, set the auto-update property, etc.