Verdict: Partly
Partly. Epic do make Unreal Engine for Linux, but there is no Epic Games Launcher to install it with. You sign in on Epic's Unreal Engine for Linux page, download a large zip and run the editor from the folder.
The engine itself is the real thing. Epic's own documentation describes two ways to get it on Linux: download a prebuilt package from the Unreal Engine for Linux page after signing in to an Epic Games account, or build it yourself from the source code.
The prebuilt package is the route to take. It arrives as a zip file, you unzip it wherever you want it, and you start the editor by running a file inside the folder. That last step is a terminal command, and there is no installer and no launcher entry, so this is not the one-click experience Windows gives you. There are also no automatic updates, so a new version means downloading the next zip.
Epic name Ubuntu 22.04 and Rocky Linux 8 as the systems they develop and test against, and say the engine needs Rocky or Red Hat Enterprise Linux 8 or newer to run.
Your projects move. A project folder opens on Linux the same as on Windows, and your Epic account, engine licence and marketplace purchases are unchanged.
Free and open source, installs in seconds, far lighter on your machine. A much smaller engine, and existing Unreal projects do not open in it.
Your files: Unreal projects cannot be opened. Models, textures and audio can be brought in again.
For the 3D art side. Free, and the standard modelling tool on Linux.
Your files: Handles .blend files and the usual 3D exchange formats Unreal imports.
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