Out of the box, the ArcGIS App for iOS can't edit offline, at least not yet (that I know of). To edit offline you need to create a cache of the data on the mobile device.
So, unless you are willing to work with the ArcGIS API for iOS you will not be able to edit data offline on your iPhone, which is what the sample in the link I gave you will help you with.
I hope this helps.
Cory