Can I sue a physician for not seeing our child until it was almost too late?

When my son was 6 weeks old he got Pyloric stenosis, we called his doctor because we didn't know what was wrong she told us over the phone that he was fine and that it was just spit up, she also knew that he was losing weight. After calling about it several times and getting the same answer she diagnosed him with acid reflex over the phone and said we would have to wait until his appointment for her to see him. At his appointment he threw up infront of the nurse and not until then did they do something about this. He had to get an ultrasound and immediate surgery downstate and the doctors downstate said that if we would've waited 3 more days he would have died of starvation.