I can't tell if you're actually quoting the show Chuck or just summarizing charles_f's comment and attributing it to "Chuck", which is a nickname for Charles.

It's a quote from the book, Fight Club, by Chuck Palahniuk.

A more appropriate way of putting was

"chucking up feathers up your cloaca doesn't make you a chicken"

I think it's attributed to an anonymous chuck, since that's also slang for a hen.

The comment has many levels.

Many layers?

I'll save that for Tor jokes