Yes, you can change your Company Name through processing the name change with ASIC. The general steps are outlined by ASIC per the following:
1. Choose a new name
Follow the same rules as when you chose your original business name.
2. Pass a Special Resolution
A meeting of members must be convened to pass a Special Resolution to change business name.
3. Lodge Form-205
Lodge this form with ASIC either online or on paper to process the name change.
4. Wait for ASIC to assess your information
5. Receive an assessment of outcome
Click on the link below for more detail on changing your business name.
Source: ASIC website