Bank websites may work with a browser, like the stock CM one or Chrome or something. Although certain banks if they detect you're using a phone or something, a mobile device, they might redirect you to downloading their apps, either Android or iPhone, which don't work on rooted, modified or jailbroken devices of course.
For information; of my bank accounts, China Merchant's Bank, I must use their app if I want to use my phone. Even forcing desktop mode in the browser doesn't work, because their desktop site requires a CMB browser plug-in, which is Windows or macOS only.