According to "Chemi Cool", electrochemistry is the "study of chemical changes produced by electrical current and the production of electricity by chemical reactions" This seems to be the definition most chemists go with, including myself.
Also, the only other radiation I can think of is that which would come from radioactivity (alpha and beta radiation for example). However, these are streams matter (which could have "wave-like" properties according to quantum mechanics) and would not interact with others atoms and molecules in the same way electromagnetic radiation (light) does. Therefore, I would not classify these interactions with spectroscopy,nuclear chemistry may be more appropriate.