Shikamaru replaces L in this scenario, he does not have any chakra to use jutsu. He does have all of L's resources at the start of the Kira case. Can Shikamaru catch Light? In a five minute (generous here) battle, Shikamaru managed to plan over 200 additional moves to defeat Temari. Only his chakra fatigue was a problem. His IQ is also 200, which seems insanely high even for Kira here.
So can "S" defeat Kira?