Yes. As long as it's set to Flight-ready mode before airport security and throughout your flight.
In accordance with ICAO regulations, your Dyson Corrale™ straightener should be packed in carry-on luggage.
Please note: Regulations in Japan may mean that you will not be able to fly in or out of any Japanese airports with your straightener. Please check with the Airline before travel.
For travel advice, including how to pack your Dyson Corrale™ straightener, What the regulations say about traveling, The requirement in giving your airline advance notice and The legal information for airlines please visit our Dyson Corrale™ straightener - How to fly article.