Indeed, it's not chemical, but it is possible nevertheless. Practicality is besides the point.
Well, my world view is that everything is conscious, including oxygen I just inhaled and that went to my brain, sugars I ate, bacteria in my gut, my blood, my dead blood cells, as well as my skin, sweat vapor, nails, hairs, teeth, cloths, electrostatic charge on my cloths etc. Dark matter, if it exists, may be the least conscious thing we know about.
I would call that consciousness a state of existing and interacting. It is a fundamental property, and can be explained only as much as color charge of a quark. For some people that's not consciousness. So, if what I described above is not consciousness, then whatever it is that you mean by consciousness, IMO does not exists.
There is also self-recognition, the red dot in the mirror etc. which is just a behavioral pattern, side effect of intelligence.