Is there a CarbonCopyClone/TimeMachine equivalent for Fedora?

And Pika Backup and Vorta are both GUI front-ends for BorgBackup, so depending on the graphical environment you use, the same backup repository can be used with either.

Pika fits better with a GNOME/GTK-based environment like Fedora Workstation, Vorta fits better with a KDE/Qt-based environment like Fedora KDE Spin, but the backups themselves are the same format.