By the end of 2018, every Australian will have a My Health Record unless they choose not to have one. An opt-out period has been announced from 16 July to 15 October 2018, in which those not wanting a My Health Record can opt out of the system.

MY HEALTH RECORD
https://www.myhealthrecord.gov.au/for-you-your-family/before-you-register

To find out how to opt out see this link:
https://www.myhealthrecord.gov.au/for-you-your-family/howtos/opt-out