2016 – IFR for Western Australia: On and after 4 February 2016, an aircraft that is operated under the IFR in Airspace that is Class A, B, C or E and within the arc of a circle that starts 500 NM true north fromPerthaerodrome and finishes 500 NM true east fromPerth Airport must carry serviceable ADS-B transmitting equipment that complies with Civil Aviation Order 20.18
So no, not in Class G.
Why would you want an En route controller separating aircraft in sometimes massive sectors, focused in on Terminal areas, surely you should be pushing for stand alone Terminal Controllers (or Towers?) Take a visit to one of the centres and see what kind of range controllers have to work with.