Possibly, although once a mirror is large enough and far enough away from the vampire to be convenient to shave in, I think you're starting to stretch the definition of "wearing". I don't think just being strapped to the vampire's body can be a sufficient condition, otherwise a vampire in a car with its seat belt on would render the whole car reflectionless, and one strapped to the ground would do the same to the planet! :-)

But this is why in Anne Rice novels the vampires have to live in pairs, so that one can shave in the other's mirrored glasses.