Yup - it happened to me for a couple of years.
Then it settled down and stopped and i haven't had any problems for over 20 years.
I expect now that I've been revised, I'll have to get used to it happening for a while again.
As long as the bleeding isn't excessive, it's nothing to worry about, although it should make you extra cautious and use barrier precautions if you have sex with someone whose HIV status you are not 100% sure of.
Because, of course, if there is bleeding there is an increased chance of blood to blood contact...