Is it possible to make applications for iPhone using Adobe Flex/AIR? Any tutorials, pointers?
No, I don't believe you can. Although support for Flash on the iPhone has been rumored for a while now, it continues to fail to materialize.
The iPhone SDK says:
3.3.2 An Application may not itself install or launch other executable code by any means, including without limitation through the use of a plug-in architecture, calling other frameworks, other APIs or otherwise. No interpreted code may be downloaded and used in an Application except for code that is interpreted and run by Apple’s Published APIs and built-in interpreter(s).
Flex and Flash programs are interpreted (or JIT'd). PSP, Nokia N8x0 and other Nokia Symbian devices have flash player working in decent speed, so I doubt it's the hardware that's restricting it.
The answer is NO
Flex applications are Flash apps.. and the iPhone does not support the Flash Player.
The first phone supporting flash will be HTC Hero. For more details about new phones that will support flash player you can google for Open Screen Project.
Adrian
As of October 5, Flash is actually supported on IPhones! Have a look at this site.
Edit: A mobile version of the flex framework has been announced by Adobe for sometime next year.
They are going to release a "lite" Flex-Mobile SDK. Currently the alpha of Flash CS5 will only compile Flash to the iPhone, but there are more plans for the release.
There are several apps currently in the store that were developed completely in Flash.
So, unless you are in the Pre-Release, right now, no. Soon you will be able to though.