UPDATE By popular request, a link to the Qt 5.2 release's Android support page, as it's now officially integrated and "production-ready".
Well, Qt can support Android, via the freshly integrated internal Lighthouse project and the works of an individual developer, who will probably be busy integrating his code in the Qt codebase:
http://code.google.com/p/android-lighthouse/
http://tamss60.tamoggemon.com/2010/03/18/qt-on-android-the-bogdan-vatra-interview/
http://labs.qt.nokia.com/2010/10/29/lighthouse-is-integrated/
Expect to see Qt 4.8 with Android support through Lighthouse.
iOS has a similar drive behind it, but the projects are only starting:
http://forums.internettablettalk.com/showthread.php?p=865264#post865264
Lighthouse provides a tiny abstraction layer for the gui/core operations of Qt, providing a very easy way of porting the framework.