Might it be possible that a person having hepatitis b antigen negative donate blood?

Need more info: Which hep b antigen are you talking about? If it is hep b e antigen negative and you have positive viral load, then absolutely not. If it is hep b surface antigen negative, you have no viral load and have never been exposed to hep b, then yes. However, if you have had a w/u for abnormal liver enzymes despite negative hep b, you will likely be rejected as that is 1 of the screening questions.