The Star Trek television series and films use the term "warp drive" to describe their method of faster-than-light travel. Neither the Alcubierre theory, nor anything similar, existed when the series was conceived—the term "warp drive" and general concept originated with John W. Campbell's 1931 science fiction novel Islands of Space. Alcubierre stated in an email to William Shatner that his theory was directly inspired by the term used in the show and cites the "'warp drive' of science fiction" in his 1994 article. A USS Alcubierre appears in the Star Trek tabletop RPG Star Trek Adventures. Since the release of Star Trek: The Original Series, more recent Star Trek spin-off series have made closer use of the theory behind the Alcubierre Drive incorporating warp bubbles/fields into the in-universe science.
It still violates causality.
Orion's Arm has an elaborate write-up for their wormhole system, to get around this:
https://www.orionsarm.com/eg-article/48545a0f6352a
https://www.orionsarm.com/page/322
In other words, one can't place wormholes in a configuration where they'd violate causality; the act of doing so creates a black hole.
And this includes more complex multi-wormhole configurations that could indirectly generate CTCs. For I time, I thought maybe Star Trek ships were "smartly" routed to avoid violating causality with each other... but this is clearly not the case.