Can you legally own a wombat?

I'm curious, can you legally own a wombat as a pet? I understand they're native to Australia and might have special regulations surrounding their ownership. Could you please elaborate on the legal implications of owning a wombat and what steps one would need to take to ensure compliance with any applicable laws? Additionally, are there any specific requirements or restrictions that apply to wombat ownership, such as obtaining a permit or meeting certain care standards?