Launched my.sketchup.com from Firefox and it ran

Yes it will run in Chrome,… but it needs to be the correct version.

EDIT: See Jon’s comments:

I think it uses JavaScript, not Java. So you need to enable Javascript, and WebGL.

WebGL

  • Open the “settings” page, via the menu (or navigate to chrome://settings)
  • scroll to the bottom,
  • click “Show Advanced Settings”,
  • scroll to the bottom to the “System” section
  • be sure “use hardware acceleration when available” is checked

I’m not sure how JavaScript would get disabled in Chrome.
You can check the chrome://flags page to see if there are any abnormal settings.


Or look through the various pages listed at:
chrome://chrome-urls/
… for some setting where JavaScript has been switched off.