Actually yes.
Version 2.7 and 2.9 supported Linux as experiment (http://discreteform.com/linux.html)
But for the latest version 3.5, well, there's not a dedicated Linux application 'per se', but the same 'Autodesk_Meshmixer_v3p5_Win64.exe' (for windows) runs flawless like a native software on Linux via Wine, no need to install Docker.
In one of my desktop PC I'm running Linux Mint 19.3 Cinnamon with Wine version 6.0.1 (I don't have Docker installed) and it works fluidly and smoothly, taking in consideration that for Aug.2022 it is the OS previous iteration, and the latest Wine version is 7.0.
In the screenshot you can even check the desktop specs.
