Police found the man curled up in a car boot lying next to a blonde wig, after he allegedly lead officers on a high-speed chase along Calume and Hillman streets.
The 26-year-old was allegedly seen driving a separate Rav 4 with stolen number plates an hour earlier.
The man allegedly tried to outrun police by swapping cars in an underground car park at Rockingham Centre.
Police also say he hid a shotgun in the process.
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Airpolice tracked the man to the boot of a Holden Commodore after he allegedly tried to make his escape.
He was arrested and charged with possessing a gun, evading the police, and unlicenced and reckless driving.
An alleged female accomplice was also arrested.