In the future, the answer for even the replacements would be "Yes".
In honor of the Once-and-Future-Fanged-One I direct your attention to a Scientific American teaser describing work developing cloned teeth.
From the print article, I can describe for you how teeth are organs that one (technically) doesn't need to live. So, as opposed to your appendix, experimenting in implanting cloned teeth will have a definite upside with minimal downside for the patient should they fail. Matters are still a little iffy, keeping the insides in and the outsides out is tougher than it looks, but progress continues. The main forward-looking point is that once the process for teeth has been perfected, it would be a matter of details to expand the technology into critical organ systems.