Of course, though it's actually only a subset of those (or maybe is just missing new ones). The unclassified set of objects in orbit is referred to as "the catalog" in professional circles, and each object is assigned a unique number. They're up over 33,000 now, though many of those are no longer up there. That doesn't count any of the spy satellites or debris smaller than 10 cm (4 in) that the military doesn't want to admit it has the ability to track.
Anyway, as promised, here's the link
to that Google Earth plugin. Other apps by that same developer group (and a link to source code can be found here
And if you're interested in seeing when these things are likely to bump into each other, you might like the SOCRATES
web site. Check out the top ten lists and see how often the word "Fengyun" shows up.