air-flown

No. Never heard or seen it. The phrase (or compound word) is awkward, since if it travelled by air, it must necessarily have been flown, giving rise to redundancy.

Is "air-flown" used by native speakers? For example, air-flown chicken exported to other countries.

Stop Flying Fish and Fruit – Don’t Buy Air-Freighted Food

As a rule, any food that travels by airplane is going to be a high-carbon choice. Something that is air freighted emits greenhouse gases up to 30 times more than that of food shipped by boat from the same point on the globe. You may not realize it when shopping at your local grocery store, but quite a few common foods come with a high climate price tag.

Airfreight of food

Sustain helps to facilitate discussions and policy development on sustainable food issues that can be complex to navigate and need input from a wide range of people and organisations. During 2006 and 2007, airfreight of food became a particularly controversial topic, so Sustain played a role in bringing together trade bodies, government and non-governmental organisations together to discuss the issues.

I think it describes poultry (live or dead, not sure) being air freighted to other countries than where they were reared. Here in Europe we get Egyptian new potatoes and Kenyan asparagus. Green people don't like it because of 'air miles'.