Not that I know of.
But as a tangent, there is !moviesandtv@lemmy.film
A community to talk about the Fediverse and all it's related services using ActivityPub (Mastodon, Lemmy, KBin, etc).
If you wanted to get help with moderating your own community then head over to !moderators@lemmy.world!
Learn more at these websites: Join The Fediverse Wiki, Fediverse.info, Wikipedia Page, The Federation Info (Stats), FediDB (Stats), Sub Rehab (Reddit Migration), Search Lemmy
Not part of the Fediverse, but The Movie Database is a good alternative to IMDb without all the adds and stuff like that. A lot of the information is user added and supported, so you can contribute as well as consume. Also for iOS, there's a new app for it called Callsheet that gets its data from TMDb
The question of a Fediverse alternative to something like IMDb, Trakt, etc has come up a time or two but before - this is my last post on the topic and that links back to previous discussion about this kind of thing because if there's an online database of stuff that lets you add, review and rate things then someone has suggested a BookWyrm-style Fediverse equivalent. Discogs is a popular one in the various discussions (you can follow my links back).
Apparently, the BookWyrm devs have said that Bookwyrm can be adapted for this use but they won't be doing it. My suggestion was/is that, rather than keep reworking BookWyrm, it would probably be better in the long-run to create a more generic version (I favour GeneralWyrm) that you could then take an adapt for your needs - creating MovieWyrm, DiscWyrm, ComicWyrm, ActionFigureWyrm, etc.
However, despite it being a great idea that has come up a number of times over the last few years, I am not aware of any progress having been made in adapting BookWyrm for other uses. It will happen eventually though.