No. Ableton lists Windows and macOS only for Live, with no Linux version. Bitwig Studio is the closest paid replacement and its maker builds a real Linux release.
Ableton Live by Ableton · Music & audio · No way to run it
Ableton offers Live 12 for macOS and Windows and nothing else, right down to the trial download. There is no Linux
build and no browser version.
Bitwig Studio is the obvious move, and it is closer than most swaps on this site. Clip launching, recording ideas
into a session and then arranging them into a song all follow the same thinking, and Bitwig's download page offers
a Linux version alongside Windows and Mac. It is paid software.
Two things will still hurt. Your Windows instruments and effects, the third-party plugins you have collected, mostly
will not load on Linux, and that collection is usually the expensive part of a setup. And your Live Sets do not
transfer. An .als file opens in Ableton Live and nowhere else, so every project has to be rebuilt by hand if you
want to keep working on it.
Do the export first. Open each project on the Windows machine and bounce every track to its own audio file. Those
stems import into any program on Linux, and they are the only part of your work that travels. Your Ableton licence
is not lost, it simply has no machine to run on unless you keep a Windows or Mac computer.
Paid, with an official Linux version. The clip launching and arrangement workflow will feel familiar quickly, and it comes with plenty of instruments and effects.
Your files: Cannot open .als Live Sets. Import audio stems exported from Live.
Paid after a 60-day free trial, with an official Linux version. Very strong for recording and mixing, but built around a timeline rather than clip launching.
Your files: Cannot open .als Live Sets. Import audio stems.
Free, and best if your work is recording and mixing real instruments rather than launching clips. Comes with almost no sounds of its own.
Your files: Cannot open .als Live Sets. Import audio stems.
This doesn't have to stop you
One stubborn program doesn't have to decide the whole question. You can keep Windows on the same PC and restart into it only when you need Ableton Live. Everything else you do can move.