No (unless you have a prescription). It is illegal to own or use nicotine e-liquid in Australia and illegal to buy e-liquid from Australia. Technically it’s legal to import e-liquid from overseas but it’s illegal to take possession of it. This situation arises is due to differences in customs laws and regulations and health laws and regulations.
The only exception to this is if you have a prescription from a doctor. In which case, you can import up to 3 months’ supply of e-liquid at a time.