Unfortunately not .AU namespace policy does not permit ID protection on .AU domain names.
Although this isn’t too much of a concern as very little information is shown. On a standard whois search only the Registrant/Entity data is shown (including ABN/ACN/Trademark/etc) along with the name of the person who is the registrant and technical contacts. No phone number or postal address details are shown on any whois search. The only time an email address is shown on a .AU domain name whois is when the search is conducted via the AusRegistry website and this is protected by a captcha.