Original Dashboards on google nest hub

No, first the dash has to be created and published as website (you can’t cast apps to the hub),
and second, to login is impossible (no keyboard);
They’ll have to come up with something like enabling a long lived token, like available with https://homey.ink, or
a Home Assistant like ‘Trusted networks’ feature (no login needed):
https://community.homey.app/t/howto-cast-your-home-assistant-dash-via-lan-to-your-google-hub-s/65263

But maybe that’s impossible: HA doesn’t need to authenticate to a cloud system.