I wouldn't. Only because when I was cross-training into the JAG dept. as a paralegal, besides the typing test and interview with the SJA, one of the factors which determined whether one could get in was the ability to communicate well orally. A speech impediment would have precluded me from becoming a JAG paralegal, and I think law schools might look unfavorably on it, as well (think Socratic method, moot court, etc.).
If you had completely overcome the stuttering, that would be one thing, but since it is still quite noticable, my opinion is that it will only hurt you.