Is there a cure for stuttering?

Treatment vs cure. One thing to note is that mild stuttering is normal up to about 5 yrs of age in some children. Severe stuttering may require evaluation and treatment earlier. If over 5 yr or severe, then speech therapist will help teach the person how to control. Cured... Maybe not, it might reappear in particularly stressful situations in some people, but controlled, yes.
Speech therapy. Age of the patient? Yes , most cases can be helped with speech therapy did you see the movie the king's speech?!