Yes you can catch your own air ball, as long as it was an attempted shot, and not an attempt to pass to yourself. I am a certified official in high school and college.

While you can catch your own air ball, it must be an attempted shot, and not an attempt to pass to yourself. Generally it's clear what the player was attempting to do. When it's not clear, it's up to the referee's judgement what the player's intent was. I am a certified official in high school and college.