Yes that’s do-able, it involes over-riding one of the BuddyPress template files.
First you need to know which BP Template you are using by looking in Settings/BuddyPress/Options and check the template setting, it will either be Legacy or Nouveau.
You also need to have a child theme do you have one set up?
Depending on the BP theme, you would create a directory in wp-content/themes/child-theme/buddypress/members
Then you would copy wp-content/plugins/buddypress/bp-templates/bp-legacy or bp-nouveau/buddypress/members/members-loop.php
over to this directory.
From there you can edit the members-loop.php file and replace the unwanted items with items you could like.
That’s the general idea.