We don't know nearly enough about neurons to make any claim either way. We do know that neurons operate by means of ion pumps which are clearly influenced by EM fields and there is evidence that exposure to these fields causes changes in cognition (see transcranial magnetic stimulation). It remains to be seen whether the field is strong enough/with enough structure to meaningfully influence cognition through self-sustaining processes.
We know certain analogues of brain-based cognition have certain properties related to information processing but to say we know anything about how neurons process information is way too naive to be taken seriously.