A man was shot and killed early Sunday morning in the West Pullman neighborhood. About 2 a.m., officers found the man, 36, in the 12000 block of South Halsted Street with a gunshot wound to the chest, Chicago police said.He was taken to Christ Medical Center in Oak Lawn where he was pronounced dead, police said. He has not yet been identified.Police have not released any details on the circumstances of the shooting.There was no one in custody.