The term "Apostolic succession" does not appear in Scripture, but neither does trinity for that matter. However, it is well documented and obvious when Scripture is read without Protestant filters.
It may be well documented in the self-serving papers of Rome, but it conspicuously absent from the pages of Scripture right along with Unicorns, Leprechauns, and Bigfoot. Your group may wish to live in a fantasy world, but believers in Christ hold onto reality.