The NYC DOT did a study on this a few years back and found it not to be the case:
> Reports of device distraction are scarce in the New York City and national fatality data, and estimates of annual mobile device-related injuries are dwarfed nationally by pedestrian injury estimates where pedestrian distraction was not cited. In short, despite growing concerns, DOT found little concrete evidence that device-induced distracted walking contributes significantly
to pedestrian fatalities and injuries.
https://www.nyc.gov/html/dot/downloads/pdf/distraction-shoul...
> Reports of device distraction are scarce in the New York City and national fatality data, and estimates of annual mobile device-related injuries are dwarfed nationally by pedestrian injury estimates where pedestrian distraction was not cited. In short, despite growing concerns, DOT found little concrete evidence that device-induced distracted walking contributes significantly to pedestrian fatalities and injuries. https://www.nyc.gov/html/dot/downloads/pdf/distraction-shoul...