Short answer: Usually no. Must not have owned property anywhere. Some exceptions for relationship breakups.
Generally no. The rules say you must not have owned property before, anywhere in the world. But there are exceptions. If you owned property with a former partner and the relationship ended, you might qualify. You need to prove you no longer have an interest in that property.
Owned In Australia: Yes
Eligible: No
Exception: Relationship property settlement with proof
Requires: Legal documentation of ownership transfer