No. Before giving blood you must fill out a questionnaire that is designed to assess whether you are, have been, or could be at risk of a blood borne disease, including HIV. This questionnaire operates as a statutory declaration and you must sign it to verify the accuracy of the information you have given. Penalties apply if you do not answer the questionnaire truthfully.
Source: HIV/AIDS Legal Centre, Sydney http://halc.org.au/publications/guides-to-hiv-and-the-law/