No — Naruto x Temari isn’t canon in the manga or the anime. From the way the story wraps up, Naruto ends up with Hinata: you can see their relationship clearly in the manga epilogue and the events of 'The Last: Naruto the Movie', which cements their bond and leads to their kids, Boruto and Himawari.
Temari’s official pairing is with Shikamaru; the epilogue and follow-ups like 'Boruto' show them married with a son, Shikadai. Naruto and Temari have friendly, respectful interactions throughout the series — they’re allies from Konoha and Suna and trade some banter during the Chunin Exams and later missions — but there’s no canonical romantic development between them. If you enjoy the chemistry, that’s totally a fun ship, but it belongs to fanon, fanfic, and doujinshi rather than the official timeline.