Summarizing the comments above: No, not in the current version of Qt, unless you roll your own in QML.
Quick Controls uses one of [native, QWidget, QML] implementations, whichever is found first. You can read the source to see that there is no native implementation: grep for createPlatformMenu() in Qt/../Src/qtbase/src/plugins/platforms/ios. Thats where the adaptors to native widgets are.
Another answer is: you could contribute by creating the adaptor to the native widget for iOS (if you are an iOS and C++ programmer.) Also assuming that a UIActionSheet is the proper widget to adapt (it seems so.)
I suppose your concern is that a centered menu (instead of a native one that animatedly slides onto the screen like a drawer, the feel) doesn't meet the HIG (or that the style/look is wrong.) Thats a moving target. The iOS8 documentation under showInView seems to say a centered popup menu is an option (at least on iPad, its unclear whether it would work on a phone.) And its fuzzy what the store would reject.
Isn't that an intended benefit of QML: you could provide different skins for tablet and phone?