Well, obviously.
Assuming that the grass is relatively healthy, it's not just lack of enlightenment that makes it look greener further away. As you look down, you see the blades in their smallest cross-section, and therefore more of the underlying dirt, which is less green. Perspective and geography conspire to ensure that the most "down" grass is also the nearest, so for any fence with objectively identical grass on either side, you're unlikely to find any point of view where the grass on the other side doesn't appear greener.
Well ... I suppose if the grass was all bent in one direction during a blow, yet kept relatively straight stalks, it would look browner to the windward — but corespondingly greener to the lee.