TV Canon.
Não. Nós vemos apenas um número extremamente pequeno de espécies realmente no processo de sermos coletivamente assimilado. Em cada caso, essas raças apresentam uma resistência espirituosa, mas fútil (e com exceção da humanidade e da espécie 8472, obviamente).
EU Canon
Sim, meio. No romance Jornada nas Estrelas: Voyager - Indigno nós encontramos o Indign. Esses adoradores dos Borg têm tentado entrar em contato com os Borg (a quem adoram como deuses) para se voluntariar para a assimilação. Unfelizmente para eles, foram considerados "indignos" de assimilação e ignorados. No momento em que os alcançamos, os Borg já foram praticamente exterminados.
“Or we could remain in the system until the Indign are willing to
speak with us again, at which point we tell them the truth,” Willem
countered.
“The truth?”
“That the Borg no longer exist. Their master race was conquered by an
even greater species and no longer occupies this area of space. Their
offerings are no longer necessary.”
“You and I both know that in a situation as delicate as this, sharing
that information could prove disastrous.”
“So we simply lie to them by omission? And allow them to go on
victimizing other sentient creatures in a cause that has gone from
irrationally motivated to absurd? That’s the Starfleet way?” he
demanded.
“We have to respect their cultural norms, Admiral. They worship the
Borg, the same way humans worshipped gods in any number of forms for
thousands of years. It doesn’t matter that those gods are intemperate
and ultimately unknowable. That’s part of the allure for those who are
so inclined. It’s evidence only of their shortcomings, not those of
their gods. It’s the basis for faith.”