Yes, stopping drinking coffee can cause headaches for some people. Caffeine is a stimulant that can cause changes in the brain and nervous system, including changes in blood flow and the release of certain hormones. When someone who regularly consumes caffeine stops drinking it, they may experience withdrawal symptoms, including headaches, fatigue, irritability, and difficulty concentrating. These symptoms usually last for a few days to a week and then gradually subside. If someone experiences severe or persistent headaches after stopping coffee consumption, they should speak with a healthcare provider to rule out any underlying medical conditions.