Do you know how to cook, OP? Whatever it is you're good at making (if it's sweet, then you'll go with sugar, if it's something salty or whatnot, go with a particularly common spice, like salt), be in the process of making it, then go up to her apartment and tell her you're cooking and, sure as shit, you don't have any salt/sugar.
She'll probably ask what you're cooking, and then you tell her. Gauge her response, and then invite her over if she seems interested. It'd be ideal if you had wine or ingredients for a cocktail, since having a drink is a nice way to kill time while cooking is commencing.
Just make sure you're good at working around a kitchen and don't look like an idiot. Remember, this advice only applies if you know how to cook.