No. Steinberg offers Cubase downloads for Windows and macOS only, with no Linux version. REAPER is the closest paid replacement and it has an official Linux release.
Cubase by Steinberg · Music & audio · No way to run it
Steinberg's Cubase 15 download page lists macOS and Windows, including Windows on Arm, and nothing else. There is
no Linux build and no browser version.
REAPER is where most Cubase users land. It is a full recording, editing and mixing program, Cockos builds a Linux
version itself, and it is a one-off payment with a free 60-day trial. Ardour is the free option and covers similar
ground with more effort. Bitwig Studio suits you better if you write with loops and instruments rather than
recording live players.
Two hard limits apply to all of them. Your Cubase projects will not open, because a .cpr file opens in Cubase and
nowhere else. And your plugin collection is Windows software, so most of your instruments and effects will not
load on Linux. Linux programs use LV2, CLAP, VST and VST3 plugins built for Linux, and there are good free ones,
but a favourite Windows instrument may simply be gone.
So do the export while you still have the Windows machine. Open each project and bounce every track to its own
audio file. Those stems import into anything on Linux, and they are the only part of your work that travels.
Paid, with an official Linux version and a large set of instruments and effects included. Better for writing than for recording a band.
Your files: Cannot open .cpr Cubase projects. 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 Cubase. Everything else you do can move.