The answer to this question is both a two-fold yes and no. It's a yes because there are a whole lot of home based business opportunities that Australians can access, though none which are tailored for Australians specifically.
So if there aren't really any programs made specially for people in Australia, then what should you be looking for?
The first thing you need from any program is a good guarantee, meaning if you don't like the program for some reason or if it's not working for you, you can get a full refund -- preferably unconditionally. My advice is to go with programs that offer a guarantee of at least one month so that you have some time to see if it's working for you.
You should always look for some substantial proof of what you can earn on the product's website. Anyone can throw in a few fake testimonials (which many of these products have been known to do), so look for things like screenshots of bank balances or accounts, sales figures or something else along those lines which aren't so easily forged as a simple text testimonial is.
Finally -- and this one is up to you -- if you find a program which has both a great guarantee and proof of earning figures, then try it out! If you can get a refund if it's not working for you then why not? So many people fail to ever try a home based business system simply becasue they're afraid of taking that step, however if you never try, you'll never know!
There are an abundance of work at home opportunities available for just about anyone with a connection to the Internet out there, though none specifically for us Australians.
But in the end, if all you need is your computer and Internet connection, it doesn't really matter does it?