to me, it does not sound possible.
i think to live out of home, one needs a more stable job, other then casual, and earning more money, as a majority of rental applications asks for income details, including paycheks from work and/or centerlink income.
just remember, you have to pay for bond (4weeks rent) plus 1-2weeks rent up-front when you rent a place. then you have to pay for bills (usually every three months), you have to feed yourself, cloth yourself, keep yourself alive etc, all with that money.
if you absolutly HAVE to move out of home, you can go to centerlink and get unfit to live at home applications and fill them out, and you might be able to get youth alowance and rent assistment, plus with that, you can also have a casual/part time job and be getting paid from that.
but yeah, go ask centerlink about that shit.
and yeah, if not, good luck with renting with only an income from a casual income.