Can contact lenses tear in the eye?

Yes, rarely but it could happen. Eyes are built in such a way that nothing can get behind your eyeball. Yet a lens can just disappear. At that moment, rinse your eye with saline solution to see if the lens reappears. Is that not the case? Then place a mirror on the table and look down at your reflection. That way it is easier to find your lens again and to take it out of your eye.

It is not a common thing that happens.