What would happen in such non-coercive society if a poor, homeless person occupies an empty house?
Otherwise if you want a house all you have to do is go bankrupt then pick an empty mansion.
But that would require coercion, since that person doesn't want to leave.
After all, if the person squatting on what you consider to be your property doesn't recognize your claim of ownership, it would seem that you pose a greater threat to them than they do to you, especially if you're trying to remove them from the property when they're not presenting an immediate threat of physical harm.
Just curious, have you ever been in a fight or had a gun pointed at you?