I'm not sure this is exactly what you're looking for, since it isn't played quite the same way, but this is essentially what a rank of organ pipes is.
I have not heard of a handheld, mouth-blown version of these, but I'd expect them to be more difficult to play (or at least slower) because of the need to stick the fipple in your mouth each time (without banging your teeth) and form a seal with the lips. Panpipes, on the other hand, can just be slid across the lips rather quickly. But I see no reason such an instrument couldn't be made.
Edit: I just found an example online of an instrument-builder who made one such device. It was specifically constructed for a production of Mozart's The Magic Flute, in which one of the singers is required to play a set of panpipes (which is usually mimed, while the orchestra flutist plays).