[Andrew Hackard]

Any player may use an ability to cancel either Trap, as long as the ability doesn't specify that it has to be a Trap that is actually played on you. (This is true in every Munchkin game: a Wishing Ring can be played to cancel any Curse, for instance.)

However, unless a specific Trap says otherwise, you can't cancel part of the effect: if you want to cancel it for yourself, you must cancel the entire card.