Yes. Indeed, many linguists and users of language data insist there is a rhetorical element in all human semiosis. All utterances/scripts/texts are characterised by multifunctionality. Philsophers of language and language acts, also take a similar view. Language is the main medium of human communication and it has work to do in all human occasions.

See the pioneering work of @Halliday, @Searle, @ttp://www.isfla.org/Systemics/Journals/index.html, and the theory of communiactive action @ Habermas for a very few instances.

Yes