Max Abraham (as a prominent advocate of the concept in 1903) thought that the electron mass was entirely of electromagnetic origin. This idea has since then been rejected in the framework of the present understanding in particle physics, wherein, how the mass (the so called bare mass) of electron arises, is still a mystery. As to the statement in the title of the paper (if not in all the details of his model in 1903), here we show that actually Abraham was right afterall! This, we show through a consistent study of the Standard Model (SM), where the group ${SU(3)_{c}} \otimes {SU(2)_{L}} \otimes {U(1)_{Y}}$ is spontaniously broken through the Higgs mechanism to the group ${SU(3)_{c}} \otimes {U(1)_{em}}$ . It is shown that the electromagnetism obtained thereby in the SM, as a matter of self-consistency, generates the mass of the electron ( and that of the other leptons and quarks ) through Yukawa coupling. Thus Yukawa coupling is induced by $U(1)_{em}$ in the SM. Hence all the masses of the fermions (including the electron) in the SM, are fully electromgnnetic in origin.