Can you wear some mascara with a stye in your eye?

It's risky. You could but the stye is a sign your mascara reservoir could be harboring infectious bacteria. I would suggest you use hot packs consisting of a warm wash cloth or put a small potato in the microwave for one minute and then place that inside a wet wash cloth and put this on the stye for 10 minutes per day until the stye disappears. Alternatively, see an ophthalmogist for a prescription drop.