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Yes, you can transfer an Australian visa to a new passport with a change of name. You can do so via ImmiAccount or Form 929 as set out on the Department's web site.
In particular, the instructions to Form 929 provide the following:
Change of name in passport
Where a new passport has been issued with a new name, you should provide certified copies of the Bio-data page of the previous passport, new passport and official evidence of name change (eg. change of name certificate, marriage certificate) with this form in order for the Department to confirm your identity.
If you have an endors*m*nt in your current passport with your new name as the principal name, you need to provide certified copies of relevant pages of the current passport and official evidence of name change with this form in order for the Department to confirm your identity.