While there have been some fan interpretations and fanfictions exploring this pairing, it is not canon in the official Naruto universe.
* Kiba's romantic interest: Kiba's primary romantic interest is Tamaki, who is a kunoichi from his team.
* Hinata's romantic interest: Hinata's romantic interest is Naruto, and their relationship is a central part of the series.
While Kiba and Hinata are shown to be friendly and have mutual respect for each other, their relationship is purely platonic.