No, Facebook's P/E has been high because people having been willing to buy the stock at a high price. Facebook can't dictate what price other people are willing to pay. It's always been set by the market, from day 1.
I disagree - though I concede its a semantic argument (and I wasn't referring to its private sales - which is valid), but the $38 price was dictated by FB and propped up (artificially) by MS it was not market set. I think that's reinforced by the drop we've seen today when the underwriters aren't there to prop the price up.