In most of our lifetimes? Per Wikipedia:
The very large IPv6 address space supports a total of 2^128 (about 3.4×10^38) addresses--or approximately 5×10^28 (roughly 2^95) addresses for each of the roughly 6.5 billion (6.5×10^9) people alive in 2006. In a different perspective, this is 2^52 (about 4.5×10^15) addresses for every observable star in the known universe.
It will take way more than poor management to use up all those numbers in any timescale with meaning to a human life.
That quote from Wikipedia you pulled, is immediately followed by this:
"While these numbers are impressive, it was not the intent of the designers of the IPv6 address space to assure geographical saturation with usable addresses. Rather, the longer addresses allow a better, systematic, hierarchical allocation of addresses and efficient route aggregation."
If we could arbitrarily ignore the network structure and special ranges assigned in IPv4, we have 4.2 billion possible IP numbers (2^32). Do we have 4 billion computers on the Internet? No. Do we have IPv4 shortage? Yes. In fact we had IPv4 shortage even back in the early 90-s when Internet was far from being mainstream yet (which prompted the jump from classful network to CIDR).