Yes, Neptune's moons indeed exhibit a unique characteristic in that a significant number of them orbit in the opposite direction, or what is referred to as "retrograde" motion, compared to the planet's own rotation. This is in contrast to the majority of moons in our solar system, which typically orbit their respective planets in the same direction as the planet's rotation.
Neptune has a total of 14 known moons, with the largest and most well-known being Triton. Triton is an interesting case because it orbits Neptune in a retrograde motion, meaning it moves in the opposite direction of the planet's rotation. Triton's retrograde orbit suggests that it was likely captured by Neptune's gravity and may have originated from the Kuiper Belt, a region beyond Neptune populated by icy objects.
While Triton is the most notable retrograde moon of Neptune, it is worth mentioning that there are a few other moons of the planet that also exhibit retrograde motion. These include Nereid and some smaller irregular moons in Neptune's system.
The reason for the prevalence of retrograde moons around Neptune is still a subject of scientific study and speculation. It is believed that interactions between Neptune and other objects in the solar system, such as passing asteroids or gravitational perturbations from other planets, may have played a role in capturing these moons and causing them to orbit in a retrograde manner.