All team Admins or Owners can remove any project from a team page. To do so, click Profile in the top nav, then select the team you wish to edit from the Teams dropdown on the next page.
Next, you'll be taken to the team page where you can click "Projects" above the team's user photo. Admins will be able to remove (or add) projects from any member that has joined their team. To remove a project, simply uncheck "Add to team page"
The steps are mostly the same as mentioned above, except that you'll only be able to remove your own projects. If your project is Co-Owned with someone, that person ALSO has the permissions to remove the project.