No, the leaves are wrong. It's one of the other native plums, maybe Mexican or any of the ones with normal plum tree leaves. Where I grew up we called them Turkey Plums or just Native Plums. Chickasaw Plum or Prunus angustifolia has narrow leaves and each stem is lined with fruit, often in clusters. The fruit color and shape is right though but plums can vary from one spot to the next.