Yes, but there have been no mass shootings, which was my point. How many mass shootings has America had this year alone?
Mass shootings happen in all sorts of countries, regardless of gun laws. And as you admit yourself, it's perfectly possible in Australia too since outlawing guns doesn't mean gun crime suddenly disappears.
This doesn't mean I don't favour gun regulation (I do actually) but that is mainly because I believe it's a good way to prevent accidents and shootings in domestic context. Gun regulation will never stop people determined to shoot other people.
The least that you could do, though, is to make it harder to get a gun. Make people go through a training program to learn how to shoot a gun and care for it before they take it home. Make them wait a couple of weeks for the gun instead of what they currently wait.
If the guns have to be registered, anyone arrested for a criminal offense should have the gun taken from them, to be given back only when they have been acquitted.
That would piss a lot of people off, but it would be a start.