Yes they do. Buy a size 7A or 9A drumstick, with a nylon tip, and break off the plastic tip. I had never thought of using a drumstick, and I play the drums. My initial thought is they are pretty short, but a model like the Vic Firth American Classic Rock stick is long - although thick.
All drumsticks are tapered at the end, and the sticks with nylon tops usually are very skinny underneath the plastic tip. Although probably not as skinny as a chopstick.