Attempts to shoot drugs into a SA prison with a bow and arrow have ended with a short car chase.

Police were called to a grey Mazda parked behind Port Augusta Prison on Monday evening, where a man was trying to shoot a package into the facility.

The 32-year-old Ridleyton man tried to run from the scene but was arrested a short distance away.

The sedan took off but was found on Racecourse Road and police arrested a 35-year-old West Croydon man and a 31-year-old Findon woman.

All three were charged with introducing contraband into a correctional facility, refused bail and are due to appear in Port Augusta Magistrates Court on Tuesday.

The package was seized and will be analysed.

Under legislation introduced in June, any person found in possession of contraband or a controlled drug without a lawful excuse within 100 metres of a prison can face up to 10 years imprisonment.