Elements cannot become "extinct" without undergoing nuclear changes. We can run out of a natural source, but because our uses for elements are almost entirely chemical or physical it would be virtually impossible for us to run out. Helium is an exception because it is so light that it literally escapes our atmosphere, and it's supreme nonreactivity renders it nonexistant as a compound. Hydrogen, despite being even lighter, does not have this problem because of it's presence in a ridiculously vast number of compounds (infinite compounds, hypothetically). Also, we should be more worried about copper than zinc because we are already approaching peak copper and it would be harder to replace