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This is so not me:
But I was curious if there was a way to call 911 while recording, so, anyone who is like this can at least have an option. :-)
No, as soon as you receive a call or initiate a call the video recording is stopped.
With an active call it's not possible to record a video at all.
I have tested this with iOS 9.3.x, iOS 10.3.x and iOS 11.0.x.