Playing it individually, yes. Name yours a different name other than "Game.rxdata" like so:
Yours can be "MineGame.rxdata"; his can be "friend'snameGame.rxdata". If you want to play his, copy an extra "friend'snameGame.rxdata" and rename that to "Game.rxdata". Same steps can be done for yours.
It's tedious but it avoids any heartbreaks.