https://github.com/nodejs/node/issues/52306
Node v14 doesn't have ARM64 support, which is why nvm failed to find a supported binary, and attempted to build source code (which failed as well)
Node v14不支持ARM64，这就是为什么nvm找不到支持的二进制文件，并试图构建源代码（也失败了）
In order to install v14 on a mac with arm64, you would need to use Rosseta.
You can install Rosseta using the following command:
/usr/sbin/softwareupdate --install-rosetta --agree-to-license
Which will allow running the nvm installation after changing the arch:
arch -x86_64 zsh
nvm install 14
With all of the above said, Node v14 is EOL, and newer versions already support ARM64, so I will be closing this issue.
If you feel it should be re-opened, please go ahead and do that 🙂