Jove

In theory, Jack could save the young Ben if they get to him in time. However, since Sayid put a bullet in his chest, more likely in his heart, the chances of him surviving are low. But, this is a world where time jumps around and people come back from the dead. For example, Locke should have been killed, but survived being shot in the kidney area because he had his kidney removed for his father. Except, when Shannon was shot in the chest in season 2, and died. So, either the young Ben will live or the young Ben will die and the Dharma initiative does not get killed off.