Carbonyl has two resonance structures, where the $\pi$-bond between C and O breaks and the electrons "move" to the oxygen atom. This gives an empty p-orbital in carbon and a p-orbital in oxygen with two electrons, leading to a positive charge on carbon, and a negative charge on oxygen. To my understanding, oxygen gets the lone electron pair because it has a higher electronegativity than oxygen.
My question: is it possible that the two electrons "move" to carbon instead of oxygen, leading to a third resonance structure (I know that these resonance structures don't really exist, and that the real structure is somewhere in between), so that carbon has a lone electron pair? It would probably contribute little to the resonance energy compared to the other structures. Or is it not possible at all?