Yes...they can be aggressive/territorial. My goby TOTALLY bosses everyone around. Even my foxface!!!! If the foxface gets too close to wherever he's eating, he will open his mouth wide and push him..the foxface will then get all spikey, and the goby will start "biting" the foxface's poisonous spikes!! No harm from either side, so far, though :) I figure if the goby's stupid enough to go up against a foxface's spines, more power to him! The goby also does that to any fish that goes too close to him during feeding....but it's random when he does it.
Gobies are also known to pick up shells (empty or still with inhabitants) and move them around as "decoration :) I've seen my do this a few times with some nessarius.