At least for the time being, as in the first part of this year, the answer to the question in the title is a definite "no". So the real question is, when will the two next-gen consoles become cheaper? For the Xbox 360, it would be normal to finally see a price cut during 2007, since Microsoft's console has been on the market for over a year now, and by the end of 2006 they had shipped over 10 million units worldwide.
Rumours about a cheaper Xbox 360 were also flying high last year, although Microsoft never really committed to cutting the price in the near future. Unfortunately, that's also the case nowdays, so the only ones who dare predict a price cut are the industry analysts (and various less-versed individuals). But anyway, if you're waiting for a significant reduction, you'd better have plenty of patience and/or tobacco, because a cheaper Xbox 360 is more likely to come along in the second half of this year.
Ironically enough, even though Sony launched their console a year later, the price of the PlayStation 3 was reduced in Japan even before the launch, with around 20%. And they have already begun talking about a new price cut for the PS3, in a (desperate) attempt to stop their gaming division's massive losses, and to gain a larger market share.