The man and woman were riding a motorcycle late Friday night when it crashed into the suspect's vehicle at A Street and Wyoming Avenue in Feltonville.
The impact ejected the woman onto the roadway. The man became lodged beneath the suspect's car. The car drove for several blocks before the man fell off.
The woman and the man were rushed to Albert Einstein Medical Center in critical condition.
Investigators have not reported an arrest in the case, or released a description of the suspect's car.