Yep! Once you go into your game files open up the file names "www" click on saves and copy all your saves. Once done, go into the newly updated game folder and go back into your "www" file and back into the saves file. Paste it and you have successfully moved your old save files.
ps~ if I didn't explain it well then there is also a form on the Town of Passion page. Which should have it explained crystal clear/ there's also a guide in the game files too