No. Firstly, the point of the pencil is generally not sharp enough to have just one single atom. People attempt to make that kind of tip in STM's. Even if you somehow did manage to get it sharp enough, graphite is so soft the the weight of the pencil will crush the tip. It won't stay a single atom wide. So there is no way to balance the pencil on a single atom because there is no single atom tip.
Secondly, even if you do get a tip a few atomatoms wide tip, it is impossible to make a perfectly symmetrical pencil. There are several ways this asymmetry can be introduced. When you sharpen the pencil, there is a point at which the wood forms a step-like structure(where the blade was when you stopped sharpening), making the structure asymmetric. If you used a CNC machine to sharpen it, then you will have to think about whether the paint was applied perfectly, whether the graphite core has a uniform density and more importantly whether the wood has absolutely uniform. Usually you can tell the two kinds of wood in a pencil just by looking at the color difference.
In short, 'theoretically' in this case is not attainable just by cooling everything to zero and creating a vacuum. The level of finishing that the pencil itself will require is too high to even call it a pencil anymore.