Yes. FreeFileSync is published for Linux by the same developer who makes the Windows version, and it is also on Flathub, so the app you know carries over.
FreeFileSync by Zenju · Cloud storage & backup · Has a Linux version
The FreeFileSync download page offers Windows, macOS and a Linux download for 64 bit machines. The Linux one
comes as a compressed archive rather than a tidy installer, which is more awkward than it needs to be, so
most people are better off getting it from Flathub, an app store that Ubuntu, Mint and Fedora can all use.
The Flathub listing carries a note saying it is put together by the community rather than the developer, and
that is worth knowing.
The app itself looks the same. Two panes, a compare button and a sync button, with the same settings behind
them. If you saved your jobs as configuration files on Windows, they open on Linux.
The one thing that needs attention is paths. Any saved job pointing at C drive or a network drive letter has
to be repointed at the matching Linux folder, since Linux has no drive letters. Open each job, fix both
sides, and save it again.
Before you trust it with anything irreplaceable, run one job on a small test folder and check the preview
screen carefully. FreeFileSync will happily delete files to make two folders match, and that is as true on
Linux as it was on Windows.