Can you give birth to a baby naturally after you have had a c-section for a previous baby?

Usually yes. Vaginal birth after a c/section (vbac) is a topic you may wish to discuss with your obstetrician or midwife. Several individual factors may influence your decision, so it's hard to answer your question more specifically. In addition, some obstetricians will not offer vbac because of the the risk, albeit small, of a ruptured uterus.