Can you make more than one save file in Professor Layton and the Unwound Future?

I want to make more than one save file in my game and was wondering if this was possible.Can you make more than one save file in Professor Layton and the Unwound Future?
As with all of the games in the trilogy, there are three save slots available and you can choose which one you want to save to when you select the Save icon in the trunk

One player could use all three slots (to save at different points in the game) or three players could each have their own slot