Something I just realized: New York traffic rules state that opening the door on the traffic side of your car without looking would put the vehicle operator at fault, but in this case the delivery truck opened the side facing the street. I don't think we can really blame the delivery truck for opening the door without looking, as who would expect a vehicle to go through the narrow gap between two vans?
Of course, this does not excuse the delivery van for double parking, which I think should have been dealt with with the utmost severity.