Can anxiety make me think I heard something about me?

Anxiety can absolutely make you think you heard something about you. When we are on high alert, we tend to look for threats and often the greatest threats we experience on a daily basis are social in nature.  To some extent this is normal, for example, when people experience late onset deafness, they often will worry people are talking about them (and usually not good things) because our brains tend to jump to that. Of course, I'm not saying you are going deaf or anything, just giving an example. Counseling can help you work through this anxiety. It may also be helpful to reach out to a counselor to rule out if there may be other things going on. Sometimes things like paranoia can blend in with anxiety, which is a very distressing experience. But both are absolutely treatable. Wishing you the best!