Cobber

As for driving to Melbourne...........That'd be the mother of all road trips!
With careful planning and preparation, not to mention several wheelbarrows of money and the time to put the rest of your life on hold, but it wouldn't be impossible.....unlikely but not impossible.

In fact you have until the 6th of August 2021 to get ready for this: London - Sydney 2021 once completed you can continue on to Melbourne ( I suggest the coastal route with a detour to Canberra and back to the coast)....Of course this is assuming COVID-19 doesn't stuff everything up!