Any idea if there is an argument for moving it if it obstructs sidewalk traffic, whether or not it sustains damage in the process?
I feel like you can't just leave a washing machine blocking the sidewalk unattended and sue anyone who scratches it while moving it? (IANAL)
If it obstructs the sidewalk and isn't moving, you can almost certainly move it. You should act in good faith and try to do so in a non-damaging manner if you want to avoid vandalism charges.
If it's moving? You should just wait for it to go obstruct some other part of the sidewalk.