yes, but only in low latitudes - Aurora Australis I'll never see it here in Sydney. Maybe if I ever get to Cygnet Folk Festival in Tasmania I can see one, but as that festival is in January & summer makes if hard to see them, probably not.

Auroras: What are they and how do you spot one in Australia? - this article says Auroras have been seen in Kiama, a 2.5 hour train trip south where I have friends, I must ask them if they have ever seen the aurura.

Google image search Aurora Australis