No, official wiimotes can't do this.
Nyko made several accessories with extra terminals on the connector called Trans-Port. I have their Wand+ (wiimote+) and rumbling Kama (nunchuk). They also made gun grips (Pistol Grip) with swappable electrical A & B rather than relying on plastic parts to press the wiimote's buttons (as in their Perfect Shot and any other wii gun grip). But these functions only work if used with Nyko's Wand with the extra contacts in the accessory socket.