Police say they've identified the driver who bumped the pedestrian on May 30, but are now trying to determine if charges are warranted.
Const. Jeff Palmer said standing in a spot to hold it might be irritating, but it's not illegal.
"We certainly don't recommend people take on vehicles personally. But on the other hand, if somebody's standing there lawfully, a driver has a responsibility not to strike a pedestrian with their vehicle," he said.
"There are certainly much better ways to resolve a dispute over a parking space "
The incident happened in an area north of Whole Foods and the Cactus Club Restaurant.
Police say the pedestrian suffered minor injuries.