Unlike flutes which have an antinode at the blown end, reed instruments can have either a node or antinode at the reed end. Clarinets have a node, while saxophones have an antinode. Reed instruments, however, always seem to have an antinode at the far end. If one were to construct a reed instrument with a node at the far end that had just enough of a hole to allow for a net flow of air through the instrument, as well as a node at the reed end, it would generate the same set of harmonics as an instrument with antinodes at both ends.
For the benefit of anyone confused by "node" and "anti-node", a sound wave consists of a velocity wave and a pressure wave. For the wave to reverse direction, one or the other must flip (flipping both would leave the sound traveling in the original direction). A node flips the velocity wave, while an anti-node flips the pressure wave.
If a pipe has a node at one end and an anti-node at the other, then after one round trip, both pressure and velocity waves will have flipped; after a second round trip, they will have been flipped back. For the wave to get back to its original state thus requires two round trips.
If a pipe has anti-nodes at both ends, one round trip will flip the pressure wave twice without flipping the velocity wave at all. Thus, the wave will get back to its original state after only one round trip.
If one were to construct a pipe with a node at both ends, one round trip would flip the velocity wave without flipping the pressure wave at all. The wave would thus get back to its original state after only one round trip. This wouldn't really be workable if one used the most common form of node (a closed pipe end) since there would be way of stimulating the air in a completely closed pipe, but if might be possible if one or both ends used a reed or diaphragm.