Two short answers: no, and yes.
That is, wind strength in the way we usually think of it is not affected meaningfully by tides--so the answer to your headline question is "No."
But tidal forces *do* act on everything that has mass, including the atmosphere. So the answer to your second question is "Yes."
That may seem a bit contradictory, but it has to do with the relative strength of factors affecting the wind: wind is driven by pressure gradients in the atmosphere and tidal effects are less than 1% of pressure differences that arise through other means. So wind strength is pretty independent of atmospheric tides.