HungryHippo comments on Harry Potter and the Methods of Rationality discussion thread, part 27, chapter 98 - Less Wrong
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Early in the fic, Draco tells Harry that you can't apparate to somewhere you have never been. This would suggest that Quirrell's Pioneer Horcrux is unreachable to anyone but himself. But, if Harry has something of Voldemort in him, "Harry" has technically been on the Pioneer probe, so he should be able to apparate to it.
In canon, Apparition becomes unreliable across long distances (as in, very few people could reliably travel to another country by Apparating, and even less (no one ?) to another continent). If this is true in HPMoR universe, then Apparate to the Pioneer plaque is out of question.
Harry can't apparate yet, nor can he learn to for a few years, since it seems to be based on strength of magic rather than skill. Unless he makes some partial-transfiguration-style physics deduction he won't be able to apparate across a room, nevermind across the solar system.