Got a new fire tablet. Is there any way to import June's Journey so I don't have to start over?

Yes. You must have the original game connected to Facebook, so that it will be backed up. Log into Facebook first. Go to the game settings, select the "social" tab, and tap "connect to FB. Write down the game ID number in case you need assistance. Close the game.

Once the old game is connected, then on your new machine, log into Facebook, then install and start June's Journey. When the game asks, connect it to Facebook, and select the game on the right side, showing your game in progress.