There are actually plans to build a 350 meter (approx. 1050 foot) skyscraper in Japan. https://www.dezeen.com/2018/02/19/sumitomo-forestry-w350-wor...

For those interested in more "concrete" expressions of the existing capabilities of timber based construction an 18 story dormitory was assembled in 70 days at the University of British Columbia.

https://news.ubc.ca/2016/09/15/structure-of-ubcs-tall-wood-b...

Here's a time-lapse: https://www.youtube.com/watch?v=GHtdnY_gnmE