Does a complex that has no overall charge still have color?
Tetrakis(triphenylphosphano)palladium(0) or $\ce{[Pd(PPh3)4]}$ is a common catalyst in organic chemistry that features a palladium(0) core with four triphenylphosphane ligands. It is a bright yellow, sometimes described as canary yellow. See the image below (taken from Wikipedia, where a full list of authors is available); however, I feel the picture doesn’t quite do the actual compound justice.



Colour is a feature of electronic transitions. Different orbitals have different energies. If the energy difference between an occupied and an unoccupied orbital happens to correspond to the energy of a photon ($E=h\nu=\frac{hc}{\lambda}$), the photon can be absorbed and the electron excited (subject to a couple of forbidden exchanges as usually defined in the Laporte rule and the spin rule). This absorption of photons is what we perceive as colour if $\pu{400 nm}&lt;\lambda&lt;\pu{700nm}$.

While energy levels of orbitals are affected by the overall charge of a complex, a correct energy difference can happen independent of partial or entire charge.