During the incident, a 30-year-old woman on foot allegedly hit the outside of the Audi several times while the p-plate driver – a 26-year-old woman – attempted to drive away.
In vision posted to social media, the driver of the Audi can be seen allegedly accelerating towards a man and hitting him, while crashing into the back of the Ford.
He suffered minor injuries as a result and was taken to Liverpool Hospital.
Officers arrived at the scene a short time later and arrested the 26-year-old Audi driver following a short struggle, during which she allegedly kicked and spat at an officer.
The 30-year-old was also arrested, and both were taken to Liverpool Police Station.
The younger woman was refused bail and will appear before Parramatta Local Court today.
The 30-year-old was charged with destroy or damage property, and affray.
She was granted conditional bail to appear before Liverpool Local Court on Thursday.