No

Şeyda Bostancı 's answer is remarkably comprehensive, although my initial response would have been that the basic structure of antibodies among individuals is essentially the same. But even within an individual there can be millions of antibodies with slightly different structures particularly in their "variable region" for Bostanci's reasons #1 and #2.

The structure of antibodies can differ from person to person due to variations in the variable regions of the antibody genes. These differences arise from genetic recombination, somatic hypermutation, and individual immune responses, allowing for a highly diverse antibody repertoire. So, yes!