Yes you can. The technical term for a fake name is a pseudonym. You can use a pseudonym for privacy reasons, for example you can use a different name for you or your children when you get healthcare.
To do this, you need to apply for a pseudonym Individual Healthcare Identifier (IHI) through the Department of Human Services (DHS). You can then use this name to register for a My Health Record.
Your pseudonym IHI isn’t linked to your Medicare information, so this information will not be available in your record.
You will not be identifiable or traceable through your pseudonym.
You can choose to have a My Health Record using your real name as well as a fake name (known as a pseudonym), and you have the option to merge these two records at any time.
To apply for a pseudonym IHI, you can call DHS on 1300 361 457.