Yeah there are flying schools that will arrange a STUDENT visa for you - that lets you stay in Australia (not to work) while you are studying.
But, there is no possibility of gaining permanent residence of Australia to work as a pilot after you finished your training. Once you've spent your money you have to leave.
So basically you have to either marry an Aussie girl, or start studying for the Cathay cadet scheme. You're going to have a stressful existence either way