The best class for a poison build is obv stamdk - two abilities, an ulti, a +5% poision dmg passive, +50% dmg to poisioned status and 1000 stam back everytime you apply it. I'm sure there are loads of poison based builds on line for them.
Could a stamden do it? Sure, if he's using a bow. Most of the poision stuff in the game comes with it - venom arrow, arrow spray, poision arrow + toxic barrage ulti.