Do you mean because of limited resources like food and space? Sure, but (1) these look like difficult but quite solvable problems (we are engineers, after all) and (2) the alternative is having every person who has ever lived also be dead, which sounds bad to me.
There might be more clever options, like cryopreserve everyone who dies; this does not consume many resources (the only recurring cost is liquid nitrogen, which is pretty cheap). Then we can wait to revive everyone until we have the medicine and the resources to support everyone, avoiding overpopulation.
There might be more clever options, like cryopreserve everyone who dies; this does not consume many resources (the only recurring cost is liquid nitrogen, which is pretty cheap). Then we can wait to revive everyone until we have the medicine and the resources to support everyone, avoiding overpopulation.