Not in the List module but you can do this by setting an action. It can be set only by an admin but can be used by any backend user that you allow.
In the Extension manager check that you have taskcenter and sys_action extensions installed. Both are system extensions that come with TYPO3 by default so you don't have to download them.
Go to the root page (id=0) and create a new record Action. Set the type of the action to SQL query and assign a backend group of users that will be allowed to use this action.
Go to the DB check module (under Admin tools) and select Full search and then Advanced query.
In the Make query part, set database table to Website User and query to [Group] [is in list] [usergroup]. Set other query parameters like limit of users listed and order of listing.
In the Load query part, select the action that you have created in the step 2. Click Save.
After backend reload, the backend users you selected in step 2 will have an action available in the top bar (see the icon next to the Clear cache icon). Upon clicking, the SQL query will be executed and the frontend users listed in the Task center module. If nothing shows up, make sure that you have selected Tasks instead of Overview in the Task center.