Can any electrician do a rental electrical safety check in Victoria?

The check must be carried out by a licensed electrician. Beyond the licence itself, the thing worth confirming is that the assessment is genuinely being done to section 4 of AS/NZS 3019:2022 and that every safety switch will be tested under load rather than visually confirmed — those are the elements that distinguish a compliant check from a quick look, and they are also the elements a cheaper quote is most likely to have left out. Ask what the price includes before booking. For work arising from the check, note that switchboard upgrades are prescribed electrical installation work in Victoria and require an independent Licensed Electrical Inspector to inspect and countersign the certificate.