Yes. You can upgrade to tapware in finishes such as matte black, brushed nickel, chrome, brass or gunmetal, provided the new taps are compatible with your existing plumbing and fixtures.
A straightforward tap replacement usually does not require changes to surrounding surfaces. However, upgrading to an in-wall mixer or changing the existing plumbing layout may require tile removal and wall access. Your plumber will inspect the setup first and explain what work is involved.