This depends on your definition of "weight", but if you're asking if your scale would read more, then the answer is yes.
Since the earth is rotating, we are always moving sideways slightly. As the earth continues to rotate, the ground falls beneath our paths slightly. This is similar to the effect you feel on one of those playground rides where you sit on a wheel and someone pushes it until you fly off. There's no force pushing you outward, but you feel a "pseudoforce" known as the "centrifugal force" because of your inertia.