Yes! Anyone with Staff Permissions is able to skip songs. With that being said, due to licensing agreements, only six songs are allowed to be skipped per hour. In addition to the limit on the number of skips, there is a 15-second delay after you skip a song before you can skip another song.
Another option is to Ban songs. Check out this article to learn more about banning music - How do I ban an artist or song using Rockbot Remote? OR - How do I ban an artist or song using the Dashboard.
If you are frequently hitting the skip limit or find that you are banning lots of songs, please contact our support team at firstname.lastname@example.org to help better customize your music library.