Our nanotechnology compared to the processes in a cell is so primitive it's not even funny. "nanobots" do not even exist.
Granted (and I am not talking about present-day nanotechnology). True nanotechnolgy (**which we don’t have**) is engineering on the atomic level. Nano machines could be organic but not necessarily so. Cells (even bigger than ginormous molecules) would comprise part of the enabling technology (chemistry) towards true nanotechnology. Dr. Eric Drexler (the ‘father’ of nanotech) did his PhD on medical cellular machines. Some clever designs (all around cell sized). This was about 20 years ago.
Cells do operate on the atomic scale, look at things like photosynthesis and ATP.
By that logic you can say that humans operate on the atomic scale (digestion, thought and a myriad of other body functions).