Yeah, that’s what I would call an “idea”. I’ll admit it’s not exactly a standard usage. My only point of disagreement is that I would go beyond “biochemical” and extend what I am well outside “my body” and into various spaces I inhabit, other people I interact with, and machines I rely on. I find the drawing of a line around the body or the brain rather arbitrary.
Or at least that’s what I’d do if I was thinking about what I feel objectively best describes people. Most of the time I think of myself as a dumb sack of meat rather than a shifting piece of the universe.