I guess it depends on what you mean by "impossible." If you only mean that it's theoretically possible, then sure, one can imagine a world where that is done. But even with IPv4's meager 32 bits of address space, it would explode TCAM requirements on routers if routers would start accepting announcements of /32s instead of the /24s that are accepted now. And /64 (or, jesus, /128) for IPv6? That's impossible.