Work is defined as a force applied over a certain distance. Thelonger distance a force is applied over, the more work being done to the arrow which results in more kinetic energy of the arrow.
Having said that, the variation from bow to bow also factors in here. Its possibe to have a bow with a 29" draw shoot an arrow with morevelocity (resulting in greater KE) than a bow with a 30" draw because of thedifference in the dynamics of the bows.One bow may be able to convert more energy to the arrow under the same draw weight...lots of factors here.
But...yes, given the same bow, a longer draw will indeed yeild more energy to the arrow.