No, rubbing a dry stick and stone together is unlikely to start a fire. While it is possible to create frictional heat by rubbing two rocks or two sticks together, rubbing a stick against a stone is not an effective method for starting a fire.
When rubbing two rocks together, such as flint and steel, the friction generates sparks that can ignite a tinder bundle, which is a material that readily catches fire, such as dry grass, leaves, or cloth. The sparks produced by the rocks can land on the tinder, causing it to smolder and eventually ignite.
When it comes to rubbing a stick against a stone, the process is less efficient for fire starting. The primary reason is that the materials involved may not create enough friction or generate sufficient heat to ignite the tinder. Additionally, the surfaces of a stick and stone are not as conducive to spark production as two rocks specifically designed for that purpose, such as flint and steel.
If you find yourself in a survival situation and need to start a fire, it's generally more effective to use other methods such as friction-based fire starting techniques like the bow drill or hand drill, or using modern tools like lighters or matches. These methods provide better control over the process and increase the chances of successfully starting a fire.