Urgent need to get rid of a stye on my eyelid overnight?

No shortcut. Sorry, no shortcuts. Hot compresses are the best way to encourage a stye to drain spontaneously, and you can certainly do them several times daily, but short of having a physician incise and drain the stye, there isn't a quick fix (and trying to manipulate or pop it at home is likely to make it more inflamed, and possibly lead to infection).