What you are basically asking for is what is called Order Fulfillment. An independent company holds your inventory and ships out as requested.
In this case, the inventory is yours, they are bonded and insured and hold your goods until you send an order for 1 piece to go here, one piece to go there. They can also insert any advertising propaganda you supply into your orders for you.
The cost is not cheap and you do have to pay for the inventory up front. You're not going to find any factories selling 1 piece at a time.
I have a business in Shenzhen, China and may be able to help if your source is there. We have not done this in the past, but I'd like to see more dropshipping in Australia and will do what I can to help out.
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