No, Boromir's been skwered by Legolas, who misunderstood Aragorn's instruction to help defuse the situation to mean that he was supposed to start shooting people. He aimed at Gimli but forgot to aim lower and the arrow bounced off the Dwarf's helm; but Boromir was hit straight on and promptly went into a bizarre rendition of Hamlet's death speech.
Hey, it could happen!