Usually, you cannot mix nickel and chrome finishes in the same space. This is because the colors of each do not complement each other.
Chrome is shiny and has a slight blue tint, while brushed nickel is dull and has a brownish yellowish tint.
Generally speaking, nickel finishes are suited to a warmer room, while chrome finishes are suited to a cooler room. If you want to use both of these popular finishes, consider them for different rooms in your home.