Police told The Arizona Republic that the prosecutor is looking at their investigation.
The 42-year-old woman reported that she was recording a fight on Aug. 11 when Harden grabbed her by the wrist.
She says he then grabbed her cellphone and threw it onto the roof.
According to the police report, Harden and someone in his entourage gave her $500 to pay for a replacement phone.
The woman was treated at a hospital for a wrist injury.
Harden, who played at Arizona State University, was voted the NBA's Most Valuable Player in June.
A representative for the Rockets did not immediately respond Friday to a request for comment.