Not likely, not sure that you would have a gain from this either. The adapter is Male DVI-I and Female VGA. A DVI cable consists of two male ends (pins stick out) so you would need a gender changer for the DVI. For your setup to go into a VGA KVM you would need a VGA male to male cable (standard cable) or a male to male gender changer.
Skip the hassle, put the DVI to VGA at your VGA card DVI-I port, take the VGA from that to your KVM. Cheaper and quicker this way.