No, NBN generally determine what network is available in your area. The address checker on both NBN or AussieBroadband will tell you what type you will be offered.
If in metro you will generally have one of the fixed line offerings (FTTP, HFC, FTTC or FTTn). If in rural or remot it will be Fixed Wirlesss or Satellite.
There is a program where you can pay extra to specifically have FTTP installed if its not available in your metro area but that can cost thousands and would only be worth it if you are a serious user running a dat heavy business from home.