It would be doubtful. Along these lines, skin is partly composed of a tough layer of dead skin cells which help protect humans. Adam had skin and thus presumably DEAD skin cells. This would mean that there was death before the fall. Obviously the plant has no breath of life.
Plant cells have no breath of life.
But then neither again do animal cells, at least not in the sense that the term 'breath of life' is generally understood. Such a possibility sounds preposterous, yet animal cells no more have the breath of life than do plant cells. If the differentiation between plant and animal death is solely based upon the criterion of the breath of life, that preposterous case can not be ruled out. To conclude, it seems highly likely that there was death before the Fall. There was most certainly plant death and cellular death, and the existence of the Tree of Life in the Garden of Eden suggests that it was there to give Adam and Eve something that the did not originally possess immortality.