Is it possible that an engineer or a scientist can create an airplane that can perform light speed?

As far as I know, it isn't possible. I'm not too knowledgeable in the laws of physics, but I do know as your speed increases, so does your m (weight.) This is possible for a photon because it hardly has any m to begin with. But an airplane? It would be far too heavy long before it could reach light speed. Now, that's not to say engineers can't solve this problem, as they are always defying what we think is the impossible.