I don't have my copies handy, but, off the top of my head, no, the first book does not, as it has precious few named females, and as far as I recall, none of them spend time talking to each other. (The Phallocentric nature of the Wizardling part of the world actually becomes much more plot-central to some later novels, as well as the prequel stories; it is a men's club in A Wizard of Earthsea, but wasn't always like that.)
Thinking back on female characters from WoE:
- His aunt, who gives him an (albeit limited) intro to magic
- The daughter of the Lord of Re Albi (well, an enchantress, as I recall, really)
- Various non-speaking female filler characters (vendors, etc.)
- Vetch's sister who wears a small dragon on her wrist
Those being the only ones I remember from that book, I would think it fails the test.
That said, the second book does pass the test; the Tombs of Atuan has a female protagonist (Tenar), and several other female characters. Most conversations have nothing to do with a man; Tenar being a priestess overseeing a dark tomb, there are many other subjects, but rarely do they talk about men.
Tenar's next starring book, Tehanu, also likely passes the test, although it's been years since I've read it. The later supplemental works certainly pass the test, especially since some of them address the apparent misogyny found in the early works.
Now, for some external support, since I don't have my copies to cite: