I would point that maybe there is an organism that can pass enough nutrients to 1 generation to survive and reproduce, but not continuously generation after generation.
Search in this camp, you may find something.
No, I think this fails even on simply definitional terms. That is, Life is (sometimes) defined as meeting certain criteria, such exhibiting growth, metabolism, and response to stimuli. Those will all require intake of some external substance at some point.
To get even more pedantic, all cells have a cell membrane, which is selectively permeable to certain ...
You may need to clarify your question: As written, this would be the biological equivalent of a perpetual motion machine. No such organism could reproduce without either violating the first and second laws of thermodynamics, or ultimately evaporating into nothingness as it divides.
Hunter-gatherers rarely if ever added salt to their foods, and studies of salt-free Yanomamo Indians have shown these indigenous people to maintain low blood pressures that do not increase with aging (Oliver et al, 1975).
--The paradoxical nature of hunter-gatherer diets: meat-based, yet non-atherogenic. European Journal of Clinical Nutrition (2002) 56, ...