Welcome to the Community! It's great to have you here!
The short answer to this is no. Trello doesn't allow 'stacking' of lists natively.
The long answer to this, is to have a look at the Chrome Extension List Layouts for Trello.
That might give you want you want, however it will only work on Chrome, and nothing will look any different on a native app (Android, iOS, Mac or Windows).
Hope that's helpful!
Esme :)
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