Upvote:8
As an Australian citizen you must always leave and enter Australia on an Australian passport. If you also have a passport from another country you can use that for travel once you have left Australia.
People trying to enter Australia as an Australian citizen but without an Australian passport face difficulties and delays. The Australian Passport Office provides more information.
So no, you need to apply for and get a new Australian passport before you travel to Australia or you might be stopped by the airline or face a long immigration interview till they can verify your citizenship. You are not entitled to an Australian visa since you are an Australian citizen.