Sadly no longer, h-r.
From the CASA link above:
Should you only wish to engage in private operations whilst in Australia, (for example, while on holidays) a Special Pilot Licence can be issued on the basis of your overseas licence, provided it is current.
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Application for a Special Pilot Licence
Processing can take several months
(Fill out three forms and...)
Attach certified true copies of your overseas licence, medical certificate and a copy of the latest opening of your logbook
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Certification of documents can only be made by a Notary Public or a CASA DAME in your home country. Alternatively, an Australian official at any Australian Embassy or High Commission.
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NB. fee for issue of Special Pilot licence for recreational purposes is $260AUD + $260AUD for an aircraft endorsement.
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Note.To process and issue a Special Licence can take several months due to time required to undergo all the mandatory security checks.