No, the Naruto timeline does not take place in archaic times. Instead, it is set in a fictional world that is a mix of traditional Japanese culture and modern technology. The story is set in a more contemporary time period with advanced technology, such as televisions and computers, as well as ninja villages and techniques.
Wrong
I apologize for any confusion. In the Naruto series, while the setting does have elements of traditional Japanese culture and feudal society, it is not specifically set in archaic times. The technology and setting suggest a more modern timeline, though with a unique blend of historical and fantastical elements.
