No, stuttering is not curable yet (and it won't be for many years to come). If you have such a mild stutter, you are very lucky compared with reasonable percentage of us who stutter. But if you are considering to really push it out of your life and since you are a mild case, a low dose of antipsyhotic (dopamine blocking/modulating drug) like Abilify can do that for you, but it can have shitty side effects like akathisia and significant weight gain. I am moderate to severe case, but I have not guts to take that poison such as Abilify... I am waiting for Ecopipam to come. Anyway, wish you all the best!