First off, we all know, that you can’t sneeze with your eyes open (well, without forcing ’em open with your hands, anyhow). This is because when you sneeze, the “sneeze center” in the brain “sends coordinated motor impulses along nerves controlling muscles of the abdomen, chest, diaphragm, neck, face, eyelids and various sphincters, as well as the mucus glands and blood vessels of the nose.
All this happens automatically.
You can’t help it.
Now, if you did force open your eyes, would your eyeballs pop out when you sneeze?
Well, Adam Savage of The Mythbuster risked his eyes doing this very experiment: