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, and it’s all set!
Note: while you can restore your purchase on another device, play data (including user progress, monster collections, etc) will not carry over. Our engineers are working on a new feature that will allow users to sync data across devices; this feature will be released in early 2016.