Afaik, the Java version is only accessible with an account, 3rd party launchers potentially being considered cracking means. Bedrock version is tied to its platforms' DRMs, like Win10's Microsoft Store validation and a hard-to-access folder which changing permissions is a nightmare, and Google Play Services' validation on Android.
As for console versions, major consoles have DRM to their games by default, with a case like PS Vita games even requiring the user to create a dummy validation file by launching the game once to be able to use backups (also iirc all Vita cartridges have a self-explanatory gro0:/DRM/ folder). And as for cartridge overall, be them Nintendo's, Sony's, etc., being hard to access their contents due to using non-standard could be considered DRM, and some cases formally considering as in the DMCA.
So sounds to me like it has DRM in most versions, yeah.