If there is no specific law requiring a person to be vaccinated, individuals, businesses and service providers are encouraged to obtain legal advice about their own specific circumstances, and to carefully consider the position of vulnerable groups in the community before imposing any blanket COVID-19 vaccination policies or conditions. These may have unintended consequences, particularly for some people with disability, and may also breach federal discrimination law.
There are medical reasons why a person may not be able to receive a COVID-19 vaccination, or may choose not to in their circumstances, including because of protected attributes such pregnancy or disability. Additionally, at present, many younger Australians have not been eligible for particular COVID-19 vaccinations at all, or for shorter periods of time than older Australians.
Source
https://humanrights.gov.au/about/covid19-and-human-rights/covid-19-vaccinations-and-federal-discrimination-law