Is it possible to create an action sheet that looks like the attached image for iOS?
This is the screenshot from the Photo app on iOS6, when you press the action button. I really like the way the options are listed as their icons, rather than horizontal buttons with titles.
I looked through Google and also in Apple's iOS reference but I can't seem to find anything that teaches me how to create something like this for my app.
You can create this by using an Activity View Controller. It's not the same as an Action Sheet.
See Apple's documentation:
http://developer.apple.com/library/ios/#documentation/userexperience/conceptual/mobilehig/UIElementGuidelines/UIElementGuidelines.html#//apple_ref/doc/uid/TP40006556-CH13-SW121