no it doesnt. itll cool it off faster when its warm, but overall temperature is overall temperature, like the engine would be on a cold morning. the engine temp is what your digital readout says, its what the mercury thermometer says, its NOT the wind chill temp.
why do you think mercury thermometers dont read wind chill temps?
plus, how does wind hit the engine block? or the pistons?
edit: tdawson beat me to it, and much more elegantly
Mercury thermometers don't read wind chill temps because they are at ambient temperature.
As I said, through the grill perhaps. Or turbulence under the engine compartment. The lower than otherwise temperature of the pistons is caused in turn by conduction through the block.
You say at first "it'll cool off faster when it is warm". Well, that's what wind chill does - the blowing wind removes heat from a warm object and it cools faster or, does not get as warm (from a block heater for example) as it would if the wind was not blowing.
Any evaporating moisture on the surface will add to the cooling effect but in itself is not necessary for a cooling effect to take place - only motion of cooler air past the object is required and the faster the wind, the greater the cooling.
Try this for further explanation:
https://en.wikipedia.org/wiki/Wind_chill
The money shot is:
"A surface loses heat through conduction, convection, and radiation.[1] The rate of convection depends on both the difference in temperature between the surface and the fluid surrounding it and the velocity of that fluid with respect to the surface. As convection from a warm surface heats the air around it, an insulating boundary layer of warm air forms against the surface. Moving air disrupts this boundary layer, or epiclimate, allowing for cooler air to replace the warm air against the surface. The faster the wind speed, the more readily the surface cools.
The effect of wind chill is to increase the rate of heat loss and reduce any warmer objects to the ambient temperature more quickly. Dry air cannot, however, reduce the temperature of these objects below the ambient temperature, no matter how great the wind velocity. For most biological organisms, the physiological response is to generate more heat in order to maintain a surface temperature in an acceptable range. The attempt to maintain a given surface temperature in an environment of faster heat loss results in both the perception of lower temperatures and an actual greater heat loss. In other words, the air 'feels' colder than it is because of the chilling effect of the wind on the skin. In extreme conditions this will increase the risk of adverse effects such as frostbite."
Note that moisture is not mentioned in the explanation as moisture is not a requirement.