Is mined food processed food?
Plus there's the "processing" of an enormous mobile smelter-factory of nanomachines we call the human body. Chop and grind, add peptides, acid-bath, add neutralizing agent, churn with fermentation bacteria...
Yeah, I know, people usually implicitly mean "artificial" processing, but that's often more about who is doing the processing, rather than what kind of process is going on.