The short answer is no, the Universal Declcaration of Human Rights can't be enforced. My take on the UDHR is that it's an aspirational document. It sets forth some nice things that we would all probably aspire to in the general sense. A lot of what it says is too general to actually "enforce." For example, the very first article says that "All human beings . . . should act towards one another in a spirit of brotherhood." I can't imagine how that would be enforced, and I'm not sure it would be a good idea to try. Trying to enforce one part of the UDHR, like the petition suggests, would arguably violate another portion, such as the one where people are free to practice the religion of their choosing. For Americans, maybe think of it like the Declaration of Independece. There's lot of nice sounding language, but it's not like you would think of going into court to try to enforce your right to the pursuit of happiness.
Also, it is absurd for whoever created this petition to suggest that the Watchtower is violating the U.S. criminal torture statute. Maybe a JW will accidentally read your petition and feel sad and depressed, so the petition drafters must be torturers also. Amateur hour...