Yes and that means producing good fruit as he has suggested that we do, but can that be called work?
Honestly, I've seen a lot of folks get really caught up in word games around 'work'. I don't think that's a very productive path to go down.
For my view: being alive involves moving and taking action. We are alive in Christ. Believ
ing is a verb, accept
ing is a verb, havi
ng faith is a verb. And then there's all the outward actions to: serving, loving, supporting, etc. A faith that is alive in Christ is moving, doing stuff --- even if we can't see it from the outside. None of these things do any saving, but they are natural result of liv
ing breath
ing mov
ing faith.
In contrast, dead things don't move. Dead faith doesn't move. They just rot.