Spoiler: She does, though she still runs him over with a bus. Happy enough ending, right?
Not if you're any of her other characters. The whole reason Harold suspects he's going to die in the first place is that this author has killed every single main character she's ever written about. Were those people real too? Did something go wrong with Harold, or did those people also have free will and the capacity to experience terror in the face of death?
There's more. Harold doesn't notice his life is being narrated until he's in his 40s. Does the author conjure her characters into existence with implanted memories like a replicant, or does she simply hijack real people's lives? Neither possibility is good, just a different flavor of monstrous. Did she breathe life into these people, only to disembowel them in a Wendy's bathroom somewhere? Or did she witness a mother of four crossing the street and force her to jump off an office building later? Everybody in the film should really be more worried about this woman's ungodly power to create and destroy human life whenever she feels like. Maybe there's a metaphor in there somewhere, but until they figure out what's going on, they should at least avoid public transportation.