You can set up a business to import the Aircraft. You can then pay the GST and then claim it back as the cost of the Aircraft is a business expense. Is ever the business sells the aircraft GST will be payable then. Also the ATO take a dim view of having personal assets/activities set up as businesses and so expect some extra scrutiny if you go down this path.
If your aircraft is owned and operated by a business registered for GST, that business can reclaim the GST through the BAS.
However - read the fourth sentence above - if the business never makes a profit and pays tax, expect the ATO to come knocking on your door for the GST back, and possibly look as whether the business or you should be prosecuted for tax avoidance.
And to generate income and hopefully make profits and pay tax with the aircraft, you need an AOC. No AOC and either CASA or the ATO may take a lot of interest in your activities.
All these schemes are fancy and fanciful, but if you don't own a viable business that requires an aircraft in the genuine conduct of it's income generating activities, your cheapest and safest course of action is to pay the GST.