Probably not. No one's ever heard a squid make any kind of noise, really, other than "splash" at the sea surface.
But if you read io9's fantastic piece on the deep sea's mysterious sounds, you'll learn about The Bloop, an unexplained deep-sea noise from 1997. What could have made it?
[One] possibility is some sort of massive squid. These creatures do serve as a catch-all for all that's still mysterious about the ocean depths, and our extremely limited firsthand knowledge of them makes it easier to believe a gigantic Blooping squid could maybe be hiding deep in the Pacific. There's a couple problems with this though.
To learn about those problems, and the favored fantastical explanation for the Bloop, read the rest of the article!