The painter Dante Gabriel Rossetti had one of these, but to be fair it was in London in the 1860's and he likely got in under the radar. Not that they had radar back then. I'm mixing my metaphors.
He had a wombat.
Since wombats (Vombatus ursinus) are only found in Australia, no telling how he got one. But in this day and age when you can have a sugar glider or rubber boa or any number of other things that maybe don't come from your town, you may be forgiven for thinking a wombat a cool pet idea.
Russell the Wombat is happy to disabuse you of that notion and bluntly too. Look further down the page, there's actual bite photos! But the rest of his site is interesting, colorful and a nice trip down under. Go on now. G'day!