Not really, even the idea of a dedicated "succubus" as a separate thing from just a standard demon was really only codified as a word in the common English language in the late 14th century. In some of the origins they are fully demonic, frightening, and ugly. That's why they basically rape men when they sleep and/or do it though the man's dreams because they were horrifying and not seductive. The beautiful succubus is itself a more modern and altered version of the oldest myths and legends. There is also a lot of cross over of sirens/mermaids, vampires, and even some types of Japanese myths (kitsune for example), have been intermixed with succubus concepts. Even the victims dying (especially after only one time with them) isn't fixed across all the lore. Some sources have a succubus feed on semen, gain power via forcing cunnilingus, and some have them extract semen, give it to an incubus, who then impregnates a women, and that this is how demons reproduce as the altered semen creates a cambion. Still other sources mention that a succubus is a demon possessed dead woman, more like a sex zombie than a seduction demon.
All that to say this: just because the current most common version of a myth has certain "rules" that many creators are following, that doesn't mean those are actual rules. The only thing you really need for it to be fairly called a succubus and not be misusing the term all together or creating unnecessary confusion is that the character/creature is a demon/devil, drains power or life force via sexual acts, and this process is usually harmful (often eventually or immediately fatal).
Sorry for the ramble,