Can I pull Facebook Reels and their transcripts?

Yes. List a Page's Reels with GET /v1/facebook/profiles/reels, then hydrate one Reel with GET /v1/facebook/posts?url=…&includeTranscript=true, or call GET /v1/facebook/posts/transcript for transcript text on its own. A found lookup does not guarantee non-null transcript text — some clips have no detectable speech.