Nope, however, some things can appear "Oversharp" at certain resolutions and on certain monitors with a built-in sharpening setting at high sharpening.

Is sharpness good for gaming?

Sharpness is a relic of OTA SD Tv it was a setting that worked well in making analog signals look closer to the originals. It's useless in any digital transmission and it should not really be there.

What affects input lag?

For monitors, the tasks of their chips to process signals, adjust the contrast and saturation of the graphic and scale the image to proper size for the display panel, are the main cause of input lag.