Absolutely. Windows, macOS, and major FLOSS desktop environments support it. Nemo (Cinnamon) and Dolphin (KDE) open WebDAV URLs as directories. Total Commander for Android has a WebDAV plugin.

You can set up a server easily with Apache, including an FTP-style inbox. Here is my config: https://github.com/dbohdan/apache-2.4-webdav. I don't recommend nginx for WebDAV. My main HTTP server, Caddy, has gained WebDAV support since I published this configuration, but I haven't used it in anger.