Definitely! Last year we had horizontal twine between the vertical poles, much like telephone wires between telephone poles. Each bine was trained to the twine that was slightly angled like this, each slash being a bine, the underscore being the mound (2 rhizomes per mound):
\_/ \_/ \_/ \_/ \_/
The slight diagonal provided a way to separate the bines within each mound.
I liked this method better than the tee-pee. Each bine had a little more room where it counts: at the top. You'll strip the leaves off of the bottom 3' or so to prevent mildew, so there's little risk of tangling at the bottom. The top, however, seems incredibly prolific. It grows not just up, but also sends runners out to the side. If it finds anything within 3', those side shoots will find it and grab hold. And when 3 or more gather at the top of a too-short tee-pee, they all tangle together (now if the top of that pole was 20', each would have continued up its own twine instead of entangling).
The telephone pole approach should work nicely.