Yes it is possible to play FC or any flash game on your IPhone/IPad. But it does cost $3.99 or $0.99 every 6 months
1: Goto the app store.
2: Download "Puffin Web Browser" for $3.99. (The free version has an in-app-purchase for 6 months for $0.99)
3: Go into the app and goto fantasticcontraption.com
4: (Skip this step if using the $3.99 version of Puffin) The screen where FC should be is white with a flash logo on it. Tap on the flash logo and a sidebar should open up. Press the button that says "Flash for 6 months for $0.99" and buy the flash for 6 months for $0.99
5: You should now be able to play FC or any flash game on your IPhone/IPad!
If you have any questions feel free to ask!
I hope this is useful.