Do you think a person that stutters can be a radio presenter?

Do you think a person that stutters can be a radio presenter? I've got involved with a college radio station and they told me if I send in a demo I can get my own show. I'm very interested in the idea but I have a stutter, which I still find hard to come to terms with. Do you think a stutterer can host a radio show? And if so, any advice? I'm really self-conscious