The daylight shooting occurred on Tuesday morning on Davie Street at Marinaside Crescent, in an upmarket area of downtown Vancouver. The suspect then fled on a bike along the seawall but was chased by police to Science World.
An exchange of gunfire behind the building led to the suspect being injured by a bullet, while a female officer suffered minor injuries when she was hit by flying glass when her car windows were shot out.
Dragan is in critical condition but stable after being shot several times, police say.
The Independent Investigations Office of B.C. has been brought in to investigate the police-related shooting.
Large areas of the city were locked down as police responded to the shooting and dozens of students inside Science World were made to lie on the floor after the shots were fired.
Google Maps: Davie Street and Marinaside Crescent