  Dark sectors provide beyond Standard Model scenarios which can address
unresolved puzzles, such as the observed dark matter abundance or the baryon
asymmetry of the Universe. A naturally small portal to the dark sector is
obtained if dark-sector interactions stem from a non-Abelian hidden gauge group
that couples through kinetic mixing with the hypercharge boson. In this work,
we investigate the phenomenology of such a portal of dimension five in the
presence of CP violation, focusing on its signatures in fermion electric dipole
moments. We show that, currently unbounded regions of the parameter space from
dark photon searches can be indirectly probed with upcoming electron dipole
moment experiments for dark boson masses in the range $1-100$ GeV. We also
discuss two particular scenarios where a $SU(2)_D$ dark gauge group
spontaneously breaks into either an Abelian $U(1)_D$ or nothing. In both cases,
we show that potentially observable electron dipole moments can be produced in
vast regions of the parameter space compatible with current experimental
constraints and observed dark matter abundance.
