Wowza provides a standalone encoder application called
GoCoder which is capable of publishing a live stream to Wowza from an iOS device. This and many other live streaming apps demonstrate the capability to reliably publish live video from iOS and Android.
As to app feature integration, it's most certainly possible, and quite common, however, you will need to develop a custom, live video encoding and publishing module within your own application. I am not aware of any iterative Wowza support documentation or process for this as we focus primarily on the video server offering.