Yes, it's always possible.
Some of the games have a built-in functionality that allows you to save your child's creations to your Camera Roll.
If the game doesn't allow saving pictures, you can always take a screenshot on your iPad or iPhone manually by pressing the Sleep/Wake button and the Home button both at the same time. The picture will be saved to your Camera Roll. To access it from your home screen, go to Photos -> Albums -> Camera Roll.