In privately owned zoos? Yes, hundreds. Here's just a few privately-owned zoos in Australia that hold primates:
Gorge Wildlife Park
National Zoo and Aquarium
Symbio Wildlife Park
Darling Downs Zoo
Mogo Zoo
Alma Park Zoo
Halls Gap Zoo
Australia Zoo
Crocodylus Park
And no doubt many smaller places that have macaques, capuchins and some marmosets.
You can add Mansfield Zoo who have 5 rhesus macaques and a bonnet macaque.
Also I found this on an Australian classifieds website.
Gorgeous Capuchin Monkey For Adoption - Perth, Australia - Free Classifieds - Muamat