You can. Getting the temporary license is pretty easy but it will generally be day VFR. Most rental places will want a local with you. Surprisingly, ATC is a lot stuffier there. I was surprised. Beautiful country. I flew from Brisbane to Sydney and back and also up to Frasier Island. Ask for orbits over Sydney Harbor. I did have an instructor with me at all times and I'm glad he was there. It made dealing with ATC and procedure differences easier. All flights, even training flights, required a flight plan. Approaches were often a VFR charted procedure. One included flying to the Target. Yep, it was a red circle on the roof of a Target store. Another required knowing that a large square concrete structure on a hill was a water reservoir used as a landmark on a procedure.