I say no...
I know for my noob arm, the distance difference is negligible between a run up, and my typical "stroll" up, or even my stand still.
I walk up to my throws just to get a sense of rhythm and timing to my toss...but as far as throwing further, it's rarely any more than I can do flat footed.
Logically, adding a run up just give you more things to go wrong in your throw...
I'm with the majority, that you just stick with a nice smooth release, that is accurate, whether it comes via a stand still or whatever...
Consistency is what distinguishes the pros from the amateurs...so the more variables you can eliminate... the better me thinks.