No. Microsoft Money has no Linux version, and Microsoft itself says the product is discontinued and no longer supported, so this is a move you have to make anyway.
Microsoft Money by Microsoft · Money & tax · No way to run it
Microsoft Money was a Windows program and there was never a Linux version. Microsoft's own support answers
now say plainly that Money has been discontinued and is no longer supported, which means there is nothing to
buy, nothing to download and no updates coming.
If you are still running the free Money Plus Sunset release on Windows, understand what you have. It is old
software with no security updates, no bank download service behind it and no help desk. Leaving it behind is
the right move regardless of which system you end up on.
Your data is the part to plan for. Money keeps everything in a .mny file and no Linux program opens it. While
the Windows machine still works, go into Money and export your accounts and transactions to QIF, which is the
old format built into Money for exactly this purpose, doing it one account at a time. Also print or save your
key reports as PDFs, because those are readable anywhere forever.
Keep the original .mny file and the QIF exports together on a USB stick after the move. Importing decades of
history rarely comes through perfectly on the first go, and having the source files means you can try again.
Sits between the other two and its layout of accounts down the side feels familiar to Money users.
Your files: Cannot open .mny files. Imports QIF and OFX.
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 Microsoft Money. Everything else you do can move.