My guess is that drumsticks are not carved, but rather are turned. I can't imagine you'll get the feel you want from carving, especially with a single ordinary blade that was never designed for carving.
That's not to say you can carve with a plain pocket knife, but rather that the skill required to do so takes a long time to learn, and may only be appropriate for whittling-style chipping and paring. Not the smooth and balanced finish that musical instruments require.
If you do want to do this, you'll probably first have to select the appropriate hardwood. Some research will have to be done to know the qualities you want so by the time you get them down to size they don't just fly apart or whatever.
And then a further guess is that you will need a few more carving tools than a single pocket knife. A drawknife springs to mind, along with a shaving horse.
And probably a profile guide of some sort, because getting the complicated profile of a stick carved in even a marginally balanced manner is going to be really really challenging.
That all being said, my suggesting is to do some internet research, because I am almost certain that drumsticks are made by turning on a special lathe, not carved in a linear fashion.