No. Heart murmurs aren't related to anxiety. But heart problems, as with any ailment, can cause people to get very stressed out and anxious. Anxiety does cause people to think they have heart problems, but in your case at least as you describe it the heart feeling came first and the anxiety later. What you don't want to do is develop a chronic anxiety problem from this, so if the anxiety lasts you might want to seek a therapist to help you through it.
We can't tell how much stress you put on your heart worrying, but many people do it for far longer than 2 months so you probably didn't injure yourself from stress.
You could also take this FV question to the heart forum, and look it up on the Mayo Clinic site so you have some idea what to expect if there really is an issue. The best thing to do is to forget it as much as you can until you have a confirmed diagnosis though, since you may be just worrying about nothing. The latter is what I would try to do since there are no known facts today.
I think they can hear a heart murmur when they listen inwent through the same thing, anxiety can maks you have heart burn and indegestion which can mimic a heart attack