We get this question a lot when customer's are considering granite.
No, not with ordinary use.
Granite is most susceptible to cracks during shipping and installation. Once it's installed in your home we rarely have issues with granite cracking. Sometimes if you have major settling in a new home it will happen, but again, it's rare.
If a crack does start to appear call the fabricator who installed it asap. There are some things we can do to stop the crack from spreading. In some cases we are able to repair cracks.
Normal use will not overstress this durable material. That being said, I do not recommend standing on your countertops. This is not what we consider "normal use".