The incident began at Martin Tudor Jurupa Hills Regional Park in Fontana.
A 23-year-old man had fallen asleep in his car in the park's parking lot. Around 2:30 a.m., the suspects approached the car, shot the driver twice and stole the vehicle, Fontana police say.
The victim underwent surgery at a local hospital, where he was in critical condition but expected to survive.
Fontana put out an alert for the stolen car.
Around 5 a.m., Chino police spotted the vehicle in the area of the 14000 block of Oaks Avenue.
"One of the suspects fired on the officer, striking the officer's vehicle," a Chino police statement said, adding that the officer was unharmed and did not return fire.
Officers and deputies from multiple agencies responded after a short pursuit ended nearby at the intersection of Schaefer and Oaks avenues, according to police.
The suspects fled on foot and one of them was quickly apprehended.
A second suspect was found suffering from a self-inflicted gunshot wound and was transported to a hospital in critical condition.
The third individual, considered armed and dangerous, was taken into custody after police established a perimeter in the area and conducted a search.
The identities of the suspects in custody were not immediately released.
Initial reports that a police officer had opened fire were unfounded, authorities said.