I'm kinda curious about this. Under the International Building Code, you can build wood frame buildings up to 6 storeys tall [0]. Granted, this is not actually wood frame construction, but I don't see why a building built this way would be any less structurally sound than a traditionally built wood frame building.
---
[0]: https://seagatemasstimber.com/how-tall-are-tall-wood-buildin...