How to track down app name for query in query plan cache?
No, information about what sent the query to the server (user, application, IP, etc.) isn't stored in the plan cache or Query Store, or associated views.
You can catch that information while a query is running using sp_WhoIsActive, or logging it to a table.
If you have a good monitoring tool, it may have gathered that information. If you have a bad one, it probably didn't.