No, there is no essence for things that occur by addition. Probably being a cloak is not an essence at all. Things that have an essence are those whose account is a definition. It only belongs without qualification to substance, but to other things derivatively. So, things are identical with their essence.
Definition is an account, something complex with parts.
Another way to consider this is to say that man's definition must include some parts, perhaps eating, reproducing, perhaps a brain, stomach, or perhaps fingers, etc. Aristotle seems to say that some functional sort of definition of matter may be part of the definition, but not actual materials. But perhaps some parts are more essential or simultaneous with the compound, such as heart or brain. Compound and form are different sorts of substance. Compounds perish, form does not.