Kind of. The Chrome browser itself doesn't run on Wayland, it runs on a custom compositor (I believe Aura?). Sommelier[1] is a Wayland compositor used for Linux apps on CrOS (Crostini), but Chrome doesn't use it. There is an ongoing effort (Lacros) to make the Chrome browser itself run under Wayland on CrOS, but it's not public outside of development builds (and not yet on par with the "native" version).

[1]: https://chromium.googlesource.com/chromiumos/platform2/+/HEA...