Yes, cooked meat freezes nicely. We do it all the time* and have for years. Better if it's vacuum sealed (for longer freezer life), but that's not required.
*In fact, when I Sous Vide steaks it's not unusual for me to cook 20-30 of them at once, and once done I freeze them. Then when we want a steak I'll pul out what I need, sous vide it just to thaw it and bring it up to temp'. It can't be distinguished from freshly cooked. But even before SV we froze pre-cooked meats.
I can eat boiled cabbage (I don't dislike it), but as I age I eat less and less at a sitting, so I choose only those things that I really enjoy.
Brian. Lover of SE razors.