There is a drop arrow besides your name at the top of your page when you are signed in on photobucket. Click on Account Settings. Then click on Privacy settings. There you can chose several different levels of privacy.

Under Media Privacy it says: Allow others to copy my media: Select this option to display the download option on the full-size view for images, the copy to my album option on the full-size view for images and videos, and allow right-click copy for images. If you turn the option off, it deactivates the download and the copy to my album options and disables right-click functionality in your account on the Photobucket website.

If I understand it correctly, no one will be able to link or upload your art. I have it set to where no one can do this, but I am able to do it on my own albums.