There's a way to manually back up your save files, although it doesn't save everything (it will not restore gems). Use a file browsing app like ES File Explorer or File Manager to navigate to your sdcard, and from there go to Android -> data -> com.bandainamcoentsailormoondropsww -> files.
Ignore the folders (those are just game assets) and copy all of the .dat files into a safe place. If you ever need to restore progress, even from a completely fresh game, you can copy the backed-up files back into the folder (make sure to overwrite the old ones) and it'll put you back to where you were when you last saved them - characters, level progress, trophies, boosters, etc. It works across devices and versions, though it doesn't transfer your ID/friendslist or, again, any gems.
It involves a little bit of work but it's the closest thing to a force-save that I know of!