Short answer: yes — in Victoria you generally need a Certificate of Roadworthiness to transfer registration to a new owner.
It must be issued within the last 30 days and lodged with the transfer, along with the fee and duty, unless you fancy paperwork boomerangs.
Exemptions are slim: transfers to a spouse/domestic partner and transfers to or from a Licensed Motor Car Trader typically don’t need an RWC (the car still has to be safe, obviously).
No RWC? Sell it unregistered or get one before you hit “transfer” — you’ve got 14 days from sale to lodge the transfer or risk a late fee.
When in doubt, check the current VicRoads guidance; rules don’t argue, they just fine.

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