Yes, you can certainly mix dish colors in a white corner china cabinet.
However, you should do so consciously so as not to end up with a messy mismatched display. In fact, we only recommend doing so with two contrasting colors or a maximum of three hues if they all come from the same set and with a themed palette.
For example, you could alternate dishes in contrasting colors, have a different shade in each section, or a slightly less predictable effect by alternating brighter and neutral colors in an asymmetrical way.