According to Islamic tradition, yes, Shaytan (Satan) can enter your mouth when you yawn. This belief is rooted in a hadith, a saying attributed to the Prophet Muhammad (peace be upon him), which encourages covering your mouth with your hand while yawning. The idea is that yawning is a sign of Shaytan's presence and covering your mouth prevents him from entering your body.
While this belief is widely held among Muslims, it's important to note that it's a matter of faith and interpretation. Some scholars argue that the hadith emphasizes the importance of good manners and hygiene, rather than literal demon possession. Regardless of one's interpretation, the practice of covering the mouth while yawning is a common courtesy and a way to show respect for others.