This is the nature of all mental illness -- obsessive thinking. And with depression and anxiety we obsess over negative thoughts, which is the very nature of the disorder. So, yes. Also, are you actually having palps or just think you are? Many anxiety sufferers think they're having heart issues, but usually aren't. Doesn't mean you aren't, but you might just think you are. Are you doing anything about it, such as therapy and learning relaxation techniques?