Yes.
If they're in the new mail folder you would use a new mail filtering rule > rules applied when folder is opened. All unread messages will be run through the filter each time the new mail folder is opened. Note that only unread message are filtered so you may have to mark them as unread. You can mark all as unread using Ctrl + A followed by Ctrl + U.
If they are in a folder you would use a general rule set and attach it to the folder as a folder-open or folder-close filter set. The attach option is in the context menu when your right-click on a folder name. The read/unread status is irrelevant in this scenario.
If you haven't worked with filters before consider testing the filter using a "Set message colour" action. This provide visual verification of the messages detected by the filter. If all is well you can then change the action to Move or Delete.