Yes! To restore games on another device, go to the Apple App Store and download the application on the new device. Open the application; tap the “Go” button and then the “Upgrade” button. In the upper right corner, tap the “Restore” button to begin the restore process. For more information on how to do this, read our FAQ on restoring your purchase.
Note: while you can restore your purchase on another device, play data (including user progress, monster collections, etc) will not carry over unless you set your profiles to sync across all devices using your Parent Account email address. For more information on how to do this, read our FAQ on syncing your profiles.