Police pursued the Volkswagen Golf the teenager was driving unpredictably through several suburbs.
Ms Ghamrawi was fined more than $1,350 at Bankstown police station at 11.45pm that night for driving while not wearing a seat belt and not displaying P-plates.
She was not charged with any drug offences, according to The Daily Telegraph.
The 20-year-old man was charged with supplying drugs and dealing with the proceeds of crime and was bailed to appear in Burwood Local Court on February 22.
Miss Lebanon Emigrant Australia organisers said they were desperate to speak to was Ms Ghamrawi but she was not answering calls or emails.