Yes, Vulcans have facial hair. Tuvok could be seen shaving with a straight razor in VOY: Year of Hell. Furthermore, the Spock and Soval of the mirror-universe could be seen with a goatee.
Vulcan beards are, therefore, the stuff of legend. The goatee, a la Leonard Nimoy in ST:TOS and Gary Graham in ST:ENT, now has a larger cultural meaning, denoting the archetype of the 'evil twin' ProfessorTrek 02:04, August 8, 2011 (UTC)
'The Vulcan Master Tuvok studied under was also shown having a beard (Reference: "Gravity "')
Mandelpoteten 06:32, August 8, 2011 (UTC)
Spock's half-brother had a beard.