Also happens to me. First on iOS 11.0. Tried updating to 11.0.3, but it still crashes,when I try to setup emergency. Did you ever succeed? Anyone else?
[doublepost=1509316378][/doublepost]Found this answer elsewhere, which worked for me:
Go to the Health app and check the emergency contacts in your medical id. If there’s a name with no contact number in the list delete it and then add it to your list again then save the info and exit the app.