No; this is an awful idea. The best response to bullying is to help bullied kids to develop the social skills and social support to stand up to whomever is bullying them.
The social skills of bullies (unprovoked tormenting, intolerance, immaturity, etc.) are far worse and more relevant than the social skills of targets of bullies (social awkwardness, being a nerd, etc.). If someone doesn't or can't react "properly" to the bully, they don't lose their right to an education and protection from bullying.
OK. Keep talking about "rights." I'm sure that it will prevent a great deal of bullying.
The idea that bullies are necessarily brutish, unpopular, and socially inept needs to be dropped. It's true sometimes, but popular and well-liked children also torment their peers. The genuinely low-status bullies are by comparison easy to deal with, especially as kids reach an age at which sheer physical bulk matters less and social intelligence and family type matter more.
I didn't say that popular well-liked kids can't be bullies, I just meant that the act of bullying itself is immature/unempathetic regardless of other characteristics of the bully. And we shouldn't expect the victim to adapt to the bully, or blame the victim.
And yes, discussing rights is relevant. Adults don't have the power to eliminate bullying/change attitudes toward bullying, but in many cases they have more power than they typically use.