Does Fifa 13 on iPhone allow you to play in Champions League or Europa League in manager mode

Just access the level and click menu, the topright of the screen will give you your current score.

From a bit of looking around, it appears that the iOS version of FF2 is a pretty much direct port of the PSP version with added touch controls, so if you can find any information related to the PSP version, that should apply here as well.

That being said, I looked at multiple walkthroughs and reviews for the PSP version, and many of them mentioned hitting yourself to increase HP, as well as spending lots of MP to increase your maximum. So both of those tricks should work.

However, the cancelling trick was removed from the GBA version of the game, and has not been present in any of the ports/remakes from that point onwards.