It's possible, but not common. I've tried it once, as well as Cassowary.
Around Australia Day (like Columbus Day I guess) it's usually possible to find 'Coat of Arms Burgers'. Our coat of arms is the emu and kangaroo, so making a meat patty out of the two is possible. Again, not common.
Eat the Australian Coat of Arms for Australia Day!
Do they taste like turkeys?
Nope. The meat is pretty tough, more fibrous, and much darker. It has a reasonable flavour, from what I remember. Eating it minced in a burger makes some sense.
How did a "Thanksgiving" holiday get translated into Australian?
We don't have one. Our main national days along those lines would be Australia Day (which is kinda our version of Columbus Day), and also ANZAC day. Which is more like Veterans Day I guess?
Here in the U.S., of course, we were thankful that the natives liked cheap beads more than they liked Manhattan, and that they didn't have firearms. So we chose to have dinner with them before we stole their land and murdered them. But you lot just stole their land and murdered them. You never made them dinner. So what's with the Aussies stealing our Thanksgiving holiday?
You might find this interesting.
Batman's treaty | Ergo
Long story short, the land for Melbourne was bought from the Aboriginals by John Batman.
The translator he took didn't speak the same language as the people he bought the land from. Good start. The treaty was possibly forged. The people who allegedly signed the treaty didn't have authority to sell the land from their people, assuming they even understood what 'selling land' meant.
And...here's the kicker...
The Crown immediately declared the treaty invalid anyway. Bravo, Crown, I hear you cry. Standing up for dodgy trade practices and appropriating land.
Nope. They had already passed a motion stating they owned ALL the land, without any treaties, negotiations or communication to anyone required.
Our history of indigenous relationships is pretty disgraceful in a lot of ways, ranging from well-meaning child removal policies through to genocide in Tasmania.