Yeah... If you cracked the air box doing something stupid like putting too much pressure on it, they won't cover it. If you try to convince them that you applied normal pressure but the airbox buckled when it definitely shouldn't have, they may cover it if they are a friendly 'ship.
It's up to you to decide whether the airbox SHOULD have cracked based on what you were doing and you should be honest in how you tell them.
If it's not covered, that's one expensive drop-in