No. You can't even really train them to grow horizontally. The hops want to grow-up. Don't be trying to growth them "topsie-turvie" style like tomatoes!
If you have a 20 ft pole you don't need to worry about this. The hop cones grow on the side arms that are produced after the initial shoot-up in the beginning of growing season. There is still vertical growth, but the side arms are where the magic is. This is why it will be a tangly mess at the top of the teepee pole, the side arms growing in each other.
But since you will more than likely be harvesting all at once b/c of your shorter growing season up there (SD, right?), you just bring them down all at once and start picking them when they are on the ground.