Is there anything in this immense universe that is not moving? Nothing on earth would be still because earth rotates around the sun, the sun rotates around the center of the milky way, milky way probally rotates around something larger and so on. And empty space doesn't count.
Nothing can be not moving, if you look at the 2nd (I think) Law of Thermodynamics, you can never cool anything down to absolute zero, as that would stop it moving altogether (at an atomic level), as it would stop existing or the electrons of the atom would collapse into the nucleus or something of the sort. Sorry if that didn't make sense, I tried to make it, I really did.