Irrational Physics: No such thing as a moment in time?

Someone's got a new theory: there's no such thing as an instant in time. I like this, intuitively, if there's no such thing as a precise position or a precise velocity, how can you have precise time (in fact the first two might imply the third). Further, if it is correct then I'm guessing you can toss string theory -- you only need it to deal with the conflict between relativity and quantum physics when dealing with relativisitc speeds on the planck scale. But such things don't happen if time isn't precise enough to bring them into conflict.