Sure, you can say this novel spans several genres. It is more than a coming-of-age tale; it also an adventure story, a social critique, and occasionally quite broad in its comedy. And it has elements of the Gothic, a genre that uses heightened atmosphere for enjoyable effect. Miss Havisham fits this in her dark house overrun by must and spiderwebs, with her old fading wedding dress and her extreme perverse behavior. Likewise, Magwich, who runs for freedom through the misty marsh, all speak to Gothic. Not sure what the last question is exactly, but I think you're asking if the narrator is a child or adult - at the time he tells his tale, Pip is an adult.