At the molecular level biology is chemistry, and I think GP is implying that it's often the kind of chemistry that needs quantum mechanics to be explained properly. Now, I don't know how enzymes work, so I don't know if that's true. But I do know that they can do chemical conversions at room temperature where "naive" human chemistry would require temperatures incompatible with life (or pH levels, or pressure, or…).
So in biology the bag, lock and keys are shaped in such a way that you only have to shake for a short time to have multiple keys come out in locks, and in a particular order or pattern too. That's what makes the whole thing kinda magical. And I would not be surprised if quantum mechanics were involved in the chemistry in ways that classical mechanics cannot explain adequately.
EDIT: I started typing this yesterday evening and hadn't hit "send" before going to bed, I hadn't seen the rest of the discussion that had taken place since.