Yes, even if all the light from stars were to suddenly disappear during nighttime on Earth, we would still be able to see our own Moon in the sky. This is because the Moon reflects sunlight, which allows it to be visible even in the absence of starlight.
The Moon's surface reflects sunlight back to Earth, making it visible from our perspective. The intensity of this reflected sunlight determines the brightness of the Moon. When the Moon is in its full phase, it appears brightest because the entire side facing Earth is illuminated by the Sun. During other phases, varying amounts of the Moon's surface are lit up, resulting in different levels of brightness.
So, even if all the stars vanished, the Moon would continue to reflect sunlight and remain visible in the night sky, providing a significant source of illumination.