Yes and no-- they are electrical in the sense that there is a movement of charge, however the charges involved are calcium and potassium ions instead of electrons, and there is no net movement of charge, just a propagation wave of charges moving across the nerve cell membrane. And that's not even getting into the role of synapses. Suffice to say, an electrical field is indeed generated, which can be detected by sensors outside of the body, like in a suit, or, in current technology, those electrodes they stick on your skin when you go in the hospital.