Most people get used to feeding right to left on a router table but if you are feeding between the bit and fence then that is the wrong way, it should be from left to right in that case. As Mike said, this a really dangerous practice that is referred to as trapping the wood. Even if you were feeding the correct direction, if the board moved away from the fence in mid-cut it would still get thrown. Keep most of the bit behind the fence and you won't have to worry about it.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.