Sure, and as shown and demonstrated w/ the putter test thread it will move the ball.
But from experience, I don't totally espouse to the 'only a little' or 'only in higher wind' mindset..
because when the ball is JUST SLIGHTLY OFF LINE, the result is many times a LIP OUT just because of this minuscule deviation.
So, even a moderate wind or a slight wind at the 'compass points' (especially a perpendicular wind) will have enough of an affect to cause a lip out.
Natch, the short putts ..not so much to worry about.
But many people who have complained about the high incident of lip outs haven't realized that it was the slight push of the WIND all along!
I've even heard experts, and some streamers , just conclude that they 'misread a middle line or dots' or some other interpretation, which was incorrect. Then I look up and see a moderate side wind from exact LEFT which obviously nudged the ball off line.