your question is not correct, hbv makes no damage so its presence might even make a liver more productive
you have to check your liver damage by a fibroscan or biopsy otherwise there is no way to tell
as a general thing sports at professional or too intense activity lower immune function but even this has no meaning because if you have no response to hbv you are healthy, if you have an immune response but hbv is cronic lowering immune function might have an impact
see here all that is needed to understand if hbv is making damage or if it is just a let's say nice companion of the liver:
http://www.medhelp.org/health_pages/Hepatitis/HepB-Introduction--Welcome-Page/show/34?cid=153