Yes, subject to ASIC’s requirements below:
A proprietary company must have at least one director. That director must live in Australia. If there is more than one director, at least one must live in Australia.
If the company has crowd-sourced funded shareholders, it must have at least two directors. A majority of these directors must live in Australia.
A proprietary company is not required to have a secretary. If it does, they must live in Australia.