The first living cell would have been formed of existing complex carbon and protein structures, so there would likely have been ample digestible “food” in the “primordial soup” that it lived in, IMO.
And thus may have existed our “Cellery.”
A huge argument for this having required supernatural help, is that whatever got a move on, somehow had to keep from getting digested, or decaying, itself while it did so.
I’ve never assembled a jigsaw puzzle yet by shaking it around in its box.