In the UK a popular plant based "meat" is Quorn. I believe that is grown by an organism that is fed glucose. The glucose is predigested maize starch. So perhaps not a single organism but two to make it.
Note: The comment I originally responded to appears to have changed their wording from "living organism" to animal. Although curiously this might not be correct either. For example, humans synthesize some “nonessential amino acids” from glucose (eg glucose → pyruvate → alanine). It's possible similar amino acid pathways can be combined into a protein completely synthesized by the human body. It also seems very likely that this happens in other animals.
https://www.quora.com/Can-the-human-body-turn-excess-glucose...
Nitrogen source is rarely the most expensive BOM component for cell culture/fermentation, so it's all kind of moot.