Not currently. You should however be able to specify tags by including them in the title using the tags format used by Org mode. For example:
Buy eggs :Shopping:Groceries:
Specifies the title "Buy eggs" and then the tags Shopping and Groceries.
Yes, you can do this. Take a look at https://www.beorg.app/learning/using-templates-to-keep-a-reading-log/. It doesn't use tags, but you this should be clear from the edit template screen. Any issues let me know.
Abe Lovelob