Verdict: Partly
Partly. The Outlook program does not install on Linux, but Outlook on the web gives you the same mailbox, calendar and contacts in a browser, and free desktop mail apps can collect the same account.
Microsoft ships Outlook for Windows, Mac, iPhone and Android. There is no Linux version, and the newer Outlook for Windows is itself a wrapper around the web version, so the web is where Microsoft is putting its effort anyway.
Signing in at outlook.com in Firefox or Chrome gives you your mail, calendar, contacts and rules, and it works with both personal accounts and most work or school accounts. You can pin it to your taskbar so it opens like a program. This is the easiest route and needs no setup beyond your password.
If you would rather have mail on your machine, Thunderbird and Evolution both connect to Outlook and Microsoft 365 accounts and download your mail for offline reading. Evolution has the better support for work calendars and shared mailboxes on Microsoft servers.
Your mail and calendar are stored on Microsoft's servers, so nothing is lost by switching machines. The one thing that does not travel well is a local .pst archive file. Those are Outlook's own offline archives, and neither Thunderbird nor Evolution reads them directly, so copy anything you still need back into your online mailbox while you are still on Windows.
Free, long established, handles several accounts at once. Calendar is built in but feels less polished than Outlook's.
Your files: Does not open Outlook .pst archives. Move that mail back into your online account before you leave Windows.
The better pick for a work Microsoft 365 account, since it handles Exchange calendars, shared folders and free/busy lookups.
Your files: Connects to the live mailbox rather than importing files. No .pst support.
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