Some are and some ain't! You need to be specific.
I won't say that you will never see one there, however Queen Triggerfish are native to the tropical regions of the world. You have better odds of seeing the Grey Triggerfish than the Queen.
No. Cheetahs are not native to Australia.
No. Goldfish are not native to Australia.
Lagoon triggerfish was created in 1758.
Triggerfish Twist was created in 2002.
Gilded triggerfish was created in 1832.
Pinktail triggerfish was created in 1845.
Clown triggerfish was created in 1801.
Titan triggerfish was created in 1801.
Starry Triggerfish was created in 1801.
Grey triggerfish was created in 1789.
Black triggerfish was created in 1786.