It's possible. Climate change is shifting climate patterns everywhere. Places in previous drought will start getting snow and rain. Other places will start getting drought. But it will have to coincide with a La Nina cycle and a low Indian Ocean Dipole cycle. If those two line up then we could see snow in the western suburbs.
The earth is meant to be in a cooling cycle as well which would help except that man induced CO2 stopped that, so temperatures are going up instead of down. Which could be fortunate as it means we won't enter an ice age, but that ice age would be thousands of years off and the temperature is rising so fast that it'll affect us in the next few decades.
This covers it pretty well if you can't be bothered reading all the atmospheric data