Yes, that is the sticking point. Don’t try to carry them on, it’s too likely they won’t make it past security. If you have expensive poles you really like, I’ve heard of people putting them in a cardboard shipping tube to be checked. If yours are basic (like mine), it could also be worth just picking some up at a Decathalon store when you arrive. Their stuff is cheap but solid, especially since you’ll be walking for less than 2 weeks. I was deterred because I didn’t want to buy something I already had…but by the time you ship stuff to Santiago, it’s almost the same cost. Much moreso if your plane ticket doesn't already include a checked bag for free. If you have those “shoe-shaped” rubber tips, bring those with you, though. I couldn’t find those at the Decathalons I went to.
I’m new to hiking poles and I know they can get pretty fancy especially if needed for tough terrain or specific body weaknesses, but as far as I know just basic ones still have a ton of benefit for most people and they are cheap to buy here.