Does Bella marry Emmett in eclipse?

When Jacob received the wedding invitation to Bella and Edwards wedding. Edward had included a personal note to Jacob inviting him, stating that if the situation were reversed he would have want to have the choice to go or not. Jacob could not handle the stress of it all and at the end of Eclipse he takes off running like lightening, transforming into a wolf wishing to never assume human form again. He wanted to leave "Jacob Black" behind, forever.