Exactly as stated, can I cast a spell from a wand while in barbarian rage? The restriction on barbarian rage says:
While in rage, a barbarian cannot use any Charisma-, Dexterity-, or Intelligence-based skills (except Acrobatics, Fly, Intimidate, and Ride) or any ability that requires patience or concentration (Source).
Based on the description of Spell Trigger items I'm inclined to say yes.
Spell trigger activation is similar to spell completion, but it's even simpler. No gestures or spell finishing is needed, just a special knowledge of spellcasting that an appropriate character would know, and a single word that must be spoken (Source).
My problem is that the wording of the rage ability is somewhat vague "any ability that requires patience or concentration" Because using a wand doesn't provoke an attack of opportunity it doesn't require concentration but I'm not sure if that phrase is a rules statement or just fluff.