The public have been urged to report any sightings to police.
The man sustained injuries that required him to be taken to hospital.
A 38-year-old woman was arrested.
The shooting occurred on March 19.
A large cordon is in place and a scene investigation is underway.
The occupiers are protesting the $280 million Te Ara o Te Ata bypass of Mt Messenger, which is Taranaki's biggest roading project.
Police believe it was an altercation between two people known to each other.
Rei Marshall was taken to Taranaki Base Hospital but died from his injuries.
The crash occurred on Liardet Street, at about 6:55am on Saturday.