No, controller buttons can't be remapped natively, only through the Steam controller config or by some mod (I also play primarily by controller, with kb+m for certain features and situations).

Originally posted by SyxtySyx:

Settings,misc tab, show button tips.

That's for turning the button display in the bottom-right of the main UI - when you have a weapon equipped - on or off, not what OP was asking about. There is no control, as far as I know (and I've been playing since a week after initial EA release), that turns off the inventory info popups.