Sphaghettification is not linked to the event horizon, or necessarily black holes or general relativity at all. For a supermassive black hole, spaghettification would not occur until well within the event horizon. For a stellar black hole, spaghettification would occur outside the event horizon.

Even just strictly following Newtonian mechanics, the tidal forces from being sufficiently close to a sufficiently high and compact mass would stretch you out and rip you apart. Of course, Newtonian gravity is not a very good approximation in situations where that would apply to objects as small as the human body, let alone molecules. (But for large objects, see Roche limit and the "stretch marks" on Mars' moon Phobos caused by tides.)