I don't think that would happen as chemically we are pretty close to each other so if you see something I more than likely will see the same thing unless one of us has an issue (colorblindness, insanity, ect.).
Don't mean to rain on your parade, but I beg to differ. Whilst it isn't exactly the same thing that Chuck was illustrating with this example, our whole idea of measuring time and distance is actually deeply flawed in logical terms, based on how we perceive time/distance and how we perceive them to affect us, as I illustrated before:
Since the line has only length and not width, the "lenght" of the lines you described on the diagonal would be 0. adding them, you would not move forward, never reach the destination. Lets move to the pixels again. The diagonal is not like you showed it, does not fit into the squares. There are dots between the lines, not matching with the (vocabulary fail) "Raster" (?). Now the original question. You are totally right. But thinking about it, the probability is really, really small that you punch someone while you hug him... you could do it in a another dimension though, while thinking that you do not do it. But the amount of endless dimensions in which you really hug would probably be greater. !!