According to our current understanding of physics, it is not possible for any object, including galaxies, to exceed the speed of light. As an object approaches the speed of light, its mass increases, and it requires an infinite amount of energy to reach or surpass that speed. Therefore, galaxies cannot "wink out" or disappear from our observation as they recede beyond the speed of light.
However, it is important to note that the expansion of the universe can cause galaxies to move away from us at speeds greater than the speed of light due to the metric expansion of space. This means that some galaxies are currently beyond our observable horizon, as the light emitted by them has not had enough time to reach us since the beginning of the universe. As a result, we cannot currently observe these galaxies, but this is due to the limitations of light travel time, not because they have exceeded the speed of light.