Absolutely.
V5 is template driven just like WP so it is a matter of editing the template.
In this case the spGroupView.php template in the SP theme you are using.
The tag that displays the recent post list is called sp_RecentPostList() and we just need to add an argument to it like so:
sp_RecentPostList('show=10&admins=1', __sp('Unread and recently updated topics'));
Note the ampersand before the new argument.
As always we recommend that you create your own SP theme so that any customisation is not lost during a future update. (http://codex.simple-press.com/codex/themes/theme-basics/creating-a-theme/)