Yes, Tapcon Carbide Drill Bits will drill through most stone without issue. Really the only stone I have come across that I had trouble with was Flint. I had to drill some mounting holes in Concrete that had Flint as the aggregate. The bit was good for 1 2" hole and burned. If you can keep the tip cool when drilling really hard material you will do much better. The bit will tend to overheat and then it will throw the carbide tip. Then you just throw it away.
These are not metal cutting bits. You would waist your time and money using these on metal.