Yeah I'm pretty sure it's possible, especially for USYD.
I think if you take a degree at USYD combined with their new Bachelor of Advanced Studies, you can actually major in areas that have no correlation with your degree. So for example, if you took a Science/Advanced Studies degree, you could potentially major in something like Physiology as well as a language.
If you don't want to major in a language though, you can always just take a language elective unit anytime during your degree.