No, this is an explanation of dataflow programming. Functional programming is only connected to dataflow programming by the fact that function application necessarily forces data to flow. Quoting myself on the esolang page for "functional paradigm":

The functional paradigm of language design is the oldest syntactic and semantic tradition in computer science, originating in the study of formal logic. Features of languages in the functional paradigm are not consistent, but often include:

• The syntactic traditions of combinatory logic and lambda calculus, carried through the Lisp, ML, and APL families
• Applicative trees and combining forms
• A single unified syntax for expressions, statements, declarations, and other parts of programs
• Domain-theoretic semantics which admit an algebra of programs
• Deprecation or removal of variables, points, parameters, and other binders in favor of point-free/tacit approaches

This definition comes from a famous 1970s lecture. The author is a Scala specialist and likely doesn't realize that Scala is only in the functional paradigm to the extent that it inherits from Lisps and MLs; from that perspective, functional programming might appear to be a style of writing code rather than a school of programming-language design.