Officers responded to the area of 60th and Sansom streets just after midnight on Tuesday.
When officers arrived, they found a 21-year-old man shot in the stomach, and rushed him to the hospital.
The victim had a handgun that he legally owned with him.
Police were then called to the area of 60th and Pine streets for another gunshot victim.
There, a 20-year-old man had a graze wound to the head.
Police are working to determine whether the two shot each other.
They're checking surveillance cameras from multiple businesses in the area.