You can apply again but with the same information on the forms you will most likely get the same outcome.
The main difference we can see is that now you have a rejected visa application to your name which makes it more likely that the visa officials refuse this one if they see anything wrong or doubtful.
On this site we usually advice to only apply again if your first application had easy to solve mistakes like forgetting to add your bank statements, and even then you have to be sure that this was the only thing wrong.
Better wait till your situation has changed significantly, like better ties to your home country, a more stable job or a family of your own. (This is assuming that your application was refused on some of the more common grounds, if you edit the question with more information we can give better advice.)
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Added after the addition of details to the question:
This is a case of the immigration officer not believing that you will leave Australia at the end of your planned stay. Which is a rather common reason and one that is very hard to overcome.
Applying again will not help you, unless you forgot to add information.
If/when you have a stable job which earns you more money than you can make in Australia and have additional reasons to return home, like a house you own or a spouse and child, you can apply again.
It is not fair but it is what rich countries have learned is needed to keep out some people who would immigratie illegally. Far more honest people are kept out as well.
Proof of property is likely not enough to overcome the officer reluctance to give you the visa.