Can you have the stomach flu without vomiting?

Yes: Stomach flu is a name often used to describe a viral infection of the GI tract, associated variety of symptoms such as fever, nausea , vomiting, abdominal pain , diarrhea. Not all episodes are associated with all symptoms. Bacterial illnesses can cause a variety of symptoms if the symptoms do not go away, a medical appointment is needed.

Yes: Nausea and vomiting may or may not be present when one has viral gastroenteritis.

Drink fluids/rest: Avoid dehydration by drinking, electrolyte containing fluids and rest once getting better introduce solid food gradually.