So if you were somehow falling from the sky and hanging onto a pole sideways with a structure that holds it high like monkey bars, would I be able to survive?
Not enough details to tell for sure. What's the initial height, friction coefficient on the pole, what's its diameter (how firm is your grip), what do monkey bars have to do with a vertical pole, how much endurance do you have.
A pole isn't a very stable structure. The highest flagpole is 170 meters tall. Highest building is 828. Mountains are ~8000-9000 above sea level.
Semi relevant, quite interesting: https :// what-if . xkcd . com/157/