It is possible. If you think that the tags left for this user are incorrect, you can distrust those ones who left these tags in your personal Trust list. If entire community will think the same, the one it will distrust will fell out of DT, and his tags will have no importance anymore. So community has enough power. Are you really sure that these tags are left in inappropriate way that you wish to delete them?

I'm sure that these tags are correct and that's why one of these tags is left by me. And as I see, the community has consensus about that these tags are quite appropriate, so community doesn't have any intentions on deleting them at the moment.