When we contract an illness, say rabies or bubonic plague, we do not die at the moment of infection. We go on for some time, not even necessarily feeling ill, before the disease runs its course and we stop running ours. Yet, we were diseased from the moment we were infected, and the writing was on the wall. For the human race, death did strike at the moment our primogenitors bit the apple, but it's first evidence was not cessation of natural life, but the emptiness of depravity.
Adam and Eve's physical life and physical capacities continued when they were struck spiritually dead, howbeit diminished and diminishing. Even their soulish capacities continued, though darkly, without the breath of God enlightening them. Death, in its immediacy, was in terms of separation rather than respiration. That is still the most fundamental quality of human depravity for all who were born of Adam and Eve into their condition--body alive but dying, spirit empty and uninspired.
One cannot take a bath if the tub is unplugged, and the soul has no good nor desire for it when God's Spirit is sucked out. Take God out of the image of God and the result won't look like God. This is what depravity is--God missing from the human soul. Will is still there, desire is still there, creativity too, but everything is twisted, off target because God is gone.
Left to our own devices, humans cannot and do not produce godliness. We have soulish capacities one would think capable of producing such, but apart from God our souls are unable. Ultimately, humans need to be rebuilt and re-inspired if they are to live as God intends. That doesn't mean, however, that we are incapable of being influenced by God as we are should he desire to come near.