  We explicitly carry out the symplectic quantization of a family of
multi-field Generalized Proca (GP) electrodynamics theories. In the process, we
provide an independent derivation of the so-called secondary constraint
enforcing relations -- consistency conditions that significantly restrict the
allowed interactions in multi-field settings already at the classical level.
Additionally, we unveil the existence of quantum consistency conditions, which
apply in both single- and multi-field GP scenarios. Our newly found conditions
imply that not all classically well-defined (multi-)GP theories are amenable to
quantization. The extension of our results to the most general multi-GP class
is conceptually straightforward, albeit algebraically cumbersome.
