"sharp wind" is correct and usable in written English.
You can use it to describe a wind that has a strong, cutting or biting sensation. For example: "The sharp wind whipped through the trees, causing the leaves to rustle."
Severe frost, sun, sharp wind, bright, frost.
With difficulty, he caught his breath, in spite of the sharp wind, and shivered with relief.
I knew Ena Sharples, who blew in like a sharp wind demanding four fancies and NO ECLAIRS.
Selborne Journal: Tuesday, 3 February 1784: 30 1/10; 28; N. Fierce frost, sun, & sharp wind, frost, bright.
In the family field, the late autumn sun is cold and there's a sharp wind from the sea.
Selborne Journal: Thursday, 29 January 1784: 29 7/10; 29, 30 142, 14 1/2 abroad; N. Severe frost, sun, & sharp wind, bright with hard frost.
By Sunday afternoon, the waves had picked up and sharp winds had begun to lash northern Florida and southern Georgia.
In Washington DC, which was lashed by heavy rain and sharp winds, the entire metro system was shut down.
This location, together with the proximity of the Sierra de Guadarrama, is partly responsible for the weather pattern of cold, crisp winters accompanied by sharp winds.
As it approached land last night, police in midtown Manhattan rushed to cordon off streets around a partially-completed skyscraper after sharp winds damaged a crane and left it dangling perilously from a height of several dozen stories above ground.
After weeks of thick smog, the launch on Saturday coincided with clear blue skies due to sharp winds, the festive closure of factories and a lack of traffic on the roads.
