No -- you would have to starve the entire village...if one of your villagers gets sick, you might be able to keep doctors away from them. But that seems kinda cruel to me .

There are a couple of random events where you can lose a villager, but there are also a few where you gain villagers, so chances are not good there, either.

Just be patient -- someone will die of old age sooner or later. I lose 3-4 elderly villagers a day typically in all three games I've finished, so I don't think it would take that long to happen.