Not to another iOS device. There used to be "AirPlay Receiver" apps for iPhone & iPad, but Apple pulled all those from the App Store back in 2012. Now those apps only work on jailbroken devices.
You can still mirror your phone to a PC or Mac laptop, using any of several "AirPlay Receiver" apps like AirServer, Reflector, or ShairPort for Windows or OS X. You can of course mirror it to an AppleTV device also, and watch on a TV. EDIT: there is some evidence that the additional Wi-Fi traffic on the Phantom's Wi-Fi network could degrade your FPV video. There was a recent thread here about that.
Or you can get the HDMI connector for your phone, and physically connect the phone's video output to a small portable TV or monitor.