Webtorrent allows you to download torrents from a stock iPhone: you use a JavaScript interpreter from the app store (that is allowed as per the app store guidelines, same for Python interpreter), then just run Webtorrent that works in JavaScript only. Like that I downloaded a lot of things while outside.
Wait, you're not allowed to run anything using the BitTorrent protocol on iOS? I never had the need myself, but I just assumed it would be allowed, because there is no reasonable explanation you wouldn't. Like the whole protocol is banned from the AppStore?