You can use Motion Path for the same in Edge Animate. Please take a look at the links below for better understanding of this.
But this is not necessarily the effect i'm looking for. I am trying to get a stroke/line or illustration to draw draw itself out.
As a graphic news designer for the past eight years, this is the single most important function that Adobe Edge lacks. It makes like 50% of potential presentations undoable. Working around the problem using other software is hardly optimal.