A company like Toll probably would.

After they receive the goods free of encumbrance.

As said, the minimum economical quantity is a container, shipped by ship. And you will be liable for duty and GST unless you can manage to fill a container with less than $1000 worth of goods at cost.

Plus, you become a dropshipper as soon as you contract storage and despatch to a third party, even if in Australia. With all the risks attendant thereto. Like YOU will be held responsible for despatch time, YOU will be held responsible for postage costs.

Like Crikey said, hire a unit in your closest Storage King and pick, pack and post yourself.

Being aware that, from August, 2% defects will impact TRS and 5% will see your account suspended. Neutrals and any 3 star will count as defects.