Unfortunately, that’s not possible. The Department must be satisfied that no dependent children will accompany you to Australia and that means that if they travel to Australia at any time during your working holiday visa, you will be liable for a visa cancellation as you will be “accompanied” by them. Satisfying the Department will only be possible if you can produce custody orders for the child or you have evidence that you have had no contact with them. If you lie about not having a child and you subsequently reveal that you do in fact have a child in a subsequent Australian visa application, you will likely be caught by the migration fraud provisions and issued with a Public Interest Criteria (PIC) 4020, which will result in you receiving a three-year ban for all types of visa application.
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