The woman told police she was carjacked by an unarmed suspect in the Sherwood Forest neighborhood on Dec. 30.
Police released video from a doorbell camera showing the alleged theft as they looked for the suspect. However, police said this week that the driver actually had a role in the "carjacking" of the vehicle that had about 110 packages inside.
A tip helped police solve the crime, and the driver admitted to lying.
A warrant request has been issued for the driver, police said.