The answer
Not necessarily. Australia's rules can apply regardless of the transfer amount.
What to do next
Follow current AUSTRAC and provider guidance for the transaction instead of assuming a low-value exemption.
CoinJar crypto exchange
Australian-market exchange programme; local availability must be confirmed. Availability, supported assets and local eligibility must be checked before signing up or buying.
Visit CoinJar crypto exchange ↗Official provider link · Compare suitability and availability before choosing.