Does it matter which character disarms a trap?
Solution 1:
When looking through your party's stats you can see their trap stat. The higher the trap stat the better the chance of a successful disarm.
Solution 2:
I don't know for past builds of the game, but currently when you are near a trap a small icon resembling a web will appear near each character's energy bars, at the bottom of the screen: if you hover your mouse there, it will give you the chance to disarm the trap.
An then, apart from that, you'll find the same information in the character stat sheet, in the lower right part of it