No. Regardless of local laws in the US, it is actually illegal to own a wallaby anywhere. Many people do not realise this.
The Australian government has only permitted the export of kangaroos and wallabies overseas for non-commercial purposes. This means that smaller, private zoos have been permitted to have them. Unfortunately, this has resulted in numerous kangaroos and wallabies escaping from their enclosures (due to mismanagement and lack of understanding of the animals' needs), causing the development of feral populations overseas.
Despite permitting the export of these animals, this still does not mean that kangaroos or wallabies may be kept as pets. Anyone who sells kangaroos or wallabies overseas is, in effect,flouting Australian law by exploiting them for commercial purposes.
It is illegal to have a wallaby as a pet.
Yes
it is legal
No, it is not legal to own a possum as a pet in Texas.
You may not have a rock wallaby as a pet. They are protected animals, with some species being endangered.
maybe
pegina!
Chinchillas are legal to own as a pet in California.
yes
yes, it is il legal to own a monkey as a pet anywhere in canada,
It is not ok to own a great white shark as a pet in New York.
In most places, it is not legal for individuals to own an elephant as a pet due to regulations on exotic animal ownership.