Yes, shower fittings are available in finishes such as chrome, matte black, brushed nickel, brushed brass and gunmetal.
For the closest colour match, choose the shower head, rail, arm and mixer from the same manufacturer and product range. Finishes can vary between brands, even when they have the same name.
If you are only replacing the shower head or rail, the change may be straightforward. Replacing the wall mixer or altering concealed plumbing may require additional plumber work.