Perhaps I have misunderstood you. To me, "no death" means not one cell. I do consider former parts of myself to be dead, without rendering me dead in toto. Do you mean to concede that there was some death prior to the Fall, so long as it did not encompass an entire organism?
No, Death did not exist before the fall, because the cells I lost were regenerated.
A cell by itself is not “alive”. It cannot feed itself, reproduce, etc. Therefore it is not alive. However, it is PART of something that is alive.