Are you referring to doing impressions where the act lasts for a few minutes, so are you saying that Jim Carrey actually impersonated other celebrity voice for like a whole movie or interview? There is a difference, I think. One is feels like “fair use” while the other would seem more like “plagiarism”.

When Jim Carrey is impersonating, it's clear that it's Jim Carrey impersonating someone for comedy-sake, not providing a service in lieu of someone else. In other words, Jim Carrey isn't getting paid to stand in for Jack Nicholson for example. Otherwise, it looks more like the Midler vs Ford Motor Co. case[1]

[1] https://en.wikipedia.org/wiki/Midler_v._Ford_Motor_Co.

Parody is covered under fair use.

As pointed out upthread, fair use is an exemption for copyright. You don’t need fair use for something that isn’t copyrighted (and, indeed, isn’t even copyrightable).

The voice and expression is copyrightable, that's just how audio books are under copyright protection.

Did Jim Carrey provide a service for anyone to impersonate a voice?

Sure. How do you think he made money at it?

Pop goes the weasel.

"I think it's fine for a profit-driven corporation to impersonate people on a large scale without their permission. Jim Carrey did it..."