Yes, however you must be 15 years of age to fly solo and you should meet all the medical requirements. There is no upper age limit to learning to fly either.
Civil Aviation Safety Authority (CASA) age requirements at the time you are ready to undergo a flight test is as follows:
Recreational Pilot Licence – 16 yrs
Private Pilots Licence – 17 yrs
Commercial Pilots Licence – 18 yrs