The incident occurred at Northern Boulevard and 80th Street about 8:45 a.m., authorities said.
Patients and residents say they have to dodge oncoming cars while crossing the multi-lane road.
The unidentified cop sustained minor injuries in the crash at Liberty Avenue and Barbey Street.
Javier Hernandez, 28, of Brooklyn, hit and killed a 3-year-old man and fled, police say.
The collision occurred near the West 79th Street exit, the FDNY says.
A dozen people were involved in the crash, which closed a section of the Belt Parkway, sources say.
Three people reportedly sustained minor injuries in one of the collisions on the Major Deegan Expressway.
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