I seriously doubt it. In general the response of the crankshaft to harmonics (or vibration) is determined by mass, not material, although if the crank harmonics were high enough frequency the material could resonate differently, but I doubt this is the case. It could have some effect, though, since the pulley is really no different than the flywheel (from a moment of inertial perspective), which when aluminum does change the response of the engine. Mostly this effect is to make the engine more responsive (read faster to accelerate), not damp out harmonic effects. I suppose if you have an aluminum flywheel, and really want to go all the way, you could use an aluminum pulley. I can't imagine the weight difference is significant, though.
Technically, a harmonic balancer is different than a crankshaft damper. A harmonic balancer has an energy absorbing component (like rubber) to absorb vibration. Neither the aluminum flywheels or crank pulleys really damp crankshaft harmonics much (in fact they may amplify certain frequencies). Reducing the mass simply makes it easier for the engine to turn over.