Hi,
no you need to buy a license not product key.
Microsoft warns at
https://www.microsoft.com/en-us/howtotell/Shop....
Beware of Product Keys Sold Separately
With the exception of Product Key Cards (PKC’s) distributed with COA’s, Microsoft does not distribute products keys as standalone products. If you see a listing on an auction site, online classified ad, or other online page advertising product keys for sale,
it’s a good indication that the keys are likely stolen or counterfeit.
And please note, there may be a problems with activation after 5th hardware change unfortunately.