>>13900938Yes of course. Gravitationally and mathematically speaking, you're asking if a satellite can itself have a satellite of it's own. In fact, I'm sure you already know of some examples of this type of phenomenon: the Earth is itself a satellite of the Sun, and yet the earth has it's own satellite, namely the moon.
Interestingly, even some large asteroids possess satellites. It would really depend on what you classify as a "moon" - the decision is somewhat arbitrary - but I'm sure there are plenty of pebbles and space dust orbiting our moon as we speak. None of them are exceptionally large, to my knowledge, but I'm sure there are plenty of other moons that do possess relatively large moons of their own.