Thought experiment

[Ghieri]

I'm confused, by "transferred to the other pole" do you mean that the band will magically tie itself to the other pole, or that you reach the other pole from travelling around the world, then tie the band to the other pole? Because the first isn't possible, the second is theoretically possible with an infinitely elastic AND incredibly durable band AND assuming you have a reliable method of traversing the surface of the planet around a circumference.

EDIT: also assuming you travel in the opposite direction from the other pole, you could quite easily hook it around the other pole, then travel around the planet.