If an opponent's attack damages my benched Pidgeot EX, can it do "Mirror Move" during my next turn and attack for the amount of damage it received while on the bench?
Yes, it can.
Source: Evolutions FAQ (2016-11-03), TPCi Rules Team (2016-11-03)

Relevant cards

Note: All applicable cards may not be listed below.
XY12_104
XY12_64