Good question - the short answer is no, unless you mean state parks (forests and the like) then yes. Here are the DPI's FAQ's
1. What is a Miners Right?
A Miners Right is a permit to prospect for minerals on unreserved Crown land or private land where the permission of the landowner has been granted.
2. What is prospecting/fossicking?
Prospecting involves the use of metal detectors, hand tools, pans or simple sluices in the search for gold and gemstones.
3. Why is a Miners Right required to prospect for minerals?
All minerals belong to the Crown, even on private land. A Miners Right transfers the ownership of any minerals found whilst prospecting, to the holder of the Miners Right.
4. Who needs a Miners Right?
Anyone searching for minerals needs to have an exploration licence, a mining licence, a prospecting licence, a retention licence or a Miners Right.
5. Does that mean that a Miners Right is required even if you are fossicking on your own land?
Yes.