Yes. All caterpillars turn into moths or butterflies, but Australia has about 400 species of butterflies and 20,000 species of moths, so most caterpillars are moth species. The structure of the legs of this caterpillar however are special and indicate that it is from the moth family Geometridae which has only about 2,000 species. Can you keep it in protective custody to stop birds and wasps etc eating it, rear it to get the adult moth?
I thought I only could see a caterpillar. The picture on my phone was not clear enough to see a moth. I just expanded the picture and you are right, of course. It is a moth that looks like a caterpillar on a stick. The moth looks like is from the genus Thema, as in http://lepidoptera.butterflyhouse.com.au/chez/chez-moths.html But I will have to reorient your photo to match that in that webpage to work out which one. That have to wait till I can get back to my laptop.
That is a moth, it flew there and when it landed I took a photo. I know it can be hard with the diminished quality to see but if admin want a higher resolution image I am happy to provide.