It exists:
Standing 20 stories tall, The Wood Hotel is the world’s tallest hotel mainly made from wood. Located at the birthplace of cross-country skiing, Skellefteå in Swedish Lapland, the 205-room property was built from locally harvested spruce and pine which smells awesome and absorbs more CO2 than it uses.
Now that’s cool. Would love to stay there. Would love to see more tall buildings built this way.
For more on it, see this: This 20-Story Hotel in Sweden Is Made Almost Entirely from Wood
Smart People I Know 