In short, no.
ASIC does not allow you to change a registered business name. For this reason it is imperative that you correctly spell your desired business name and use the appropriate grammar.
Should you wish to trade under a different business name then you must submit a fresh application to register a new business name. You can also apply to cancel the existing business name. ASIC will not refund fees paid for a business name registration that is subsequently cancelled.
It is possible to update business name details, such as the business addresses or partner details. Any updates can be effected from within your ASIC Connect account, which can be created using the ASIC key issued to you upon initial registration of the business name. Please be aware that ASIC will not re-issue the record of registration document/certificate after each amendment. It will only be generated at the time of renewal.
This information is of a general nature only and does not constitute professional advice. You must seek professional advice in relation to your particular circumstances before acting.