Authorities charged the boy's mother, Cecilia Rojas-Rodriguez, 30, of 710 Navaho Drive, with child abuse following the crash.
According to the arrest warrant, the child was left unattended and unrestrained in the car on the 300 block of Fayetteville Street.
The child got behind the wheel, put the car in reverse and crashed into another vehicle, the arrest warrant stated.
No one was injured.
Witnesses said the boy was about 3-years-old.