Question: I want to record phone screen in a video format. 

Is there a way to record my screen using ARcore android SDK??

Answer: 
Do you want the recording functionality to be built into your app? If not, just use something like the [DU Recorder](https://play.google.com/store/apps/details?id=com.duapps.recorder) App. Worked well for me for recording Google Tango Apps. Haven't tested it with ARCore, but should work as well.
Try to see if this works for you - <https://stackoverflow.com/a/31547690/855984>

The only thing that sucks about it is that you'll need to be tethered via USB cable to control the recording.

Android Studio will sample whatever it is you are seeing on your device provided that you're the owner of the process. Won't work for ripping other stuff visuals like Netflix for example.