Yes but I’m going to give a snarky answer, not with SmartThings currently. Updated: I went ahead and did a really quick search and this is in the list:
There was a app in development to allow casting to Google Home/Mini’s it’s been a while since I’ve checked on it’s status. So search for that. If that app is working then yes you should be able to do this.
With other systems I know it’s possible as I do it myself today.