The shooting happened in the 1700 block of Chestnut Street at about 1:50 p.m.
Police said the driver of a white car pulled into a parking spot near the intersection of 17th and Chestnut streets that a food delivery driver wanted to park in, too.
The delivery driver allegedly got out of his silver SUV and the two exchanged words.
That's when the delivery driver punched the other man, knocking him off his feet, police said. The man then shot the delivery driver in the jaw and back.
The delivery driver tried to drive off but he didn't make it far. Police say he got to the intersection of 17th and Chesnut streets because he could barely drive.
A good Samaritan then took the delivery driver to Thomas Jefferson University Hospital where he was listed in critical condition.
The shooter is still being sought by investigators.
Police are thankful no one else was injured.
"In a situation like this, he hit his intended target, but think about how many people out here with them bullets flying," said Captain John Walker.
The broad daylight shooting was one of a handful of incidents under investigation by police on Thursday.
In the city's Germantown section, four people, ranging in age from 16 to 65, were shot outside of a Rite Aid around 4:30 p.m.
They were all innocent bystanders caught in the crossfire between two gunmen who were 50 yards apart from each other.
"People need to understand when you fire these guns, things like this can happen and now you have four people impacted by this," said Walker.
Some of the victims were seriously injured, but police say all are expected to survive.
Police are still searching for the gunmen.
Anyone with information is asked to call police at 215-686-TIPS.
SEE ALSO: Caught in crossfire: 4 innocent victims injured after gun battle outside Philly Rite Aid
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