The name “big bang” was a pejorative epithet coined by Fred Hoyle, who believed in a steady-state universe that was expanding (as Hubble had argued convincingly) but had some hypothetical mechanism for creating galaxies, such that the universe could have an unbounded past and future.
So, historically, they did not go hand-in-hand.
https://en.wikipedia.org/wiki/Fred_Hoyle#Rejection_of_the_Bi...