I don't see why not. Some Corolla S premium's have that option sans-homelink (I kinda suspect it is a Canada and Asia only option as I have yet to see a U.S. '14 with an auto-dimming mirror already installed unless it is a dealership install ... it is in the manual though).
They don't draw a lot of power ... if you have a moonroof you could tap into the switches since they are not hot at all times. Otherwise you'd have to route the wire along the A pillar and down the dash into the ACC fuse location.