This could be done, but not without a bit of work. ACF saves every value, empty or not.
As far as a solution, I have not tested what follows so it’s only a thought about how it could be done. I have several sites that have thousands of posts in custom post type and usually much more than 10 fields. The empty rows don’t appear to effect anything as far as I can see so I don’t worry about the.
Anyway, you could create an acf/save_post action with a priority of 1. This will run before ACF saves the data. In your action function you could then delete/unset the $_POST indexes that have empty values. I think this would cause ACF to not save the fields to the database.
