It probably does. With the door open, look at the periphery of the inside of the door frame. There should be what looks like a collapsed bicycle inner tube most of the way around. With engine running and tranny in gear, the tube should inflate to help cut down air leakage and noise around the door. Sometimes, for whatever reason - such as getting underway and finding the door incompletely closed, and the copilot reaches over and tries reclosing it - the door gets shut while the tube (airbag) is inflated, and thus it gets damaged or cut.
Joel