No, or at least not always? It’s certainly not normally the case in England - managed forests and their subdivisions are a separate thing altogether to admin boundaries and if they do correspond, it’s likely historical coincidence.
(partial quoting to work around Discourse bug mentioned at https://community.openstreetmap.org/t/automatically-removed-quote-of-whole-previous-post-how-do-i-turn-that-off/1444/3).