No.
Retina display means pixels small enough that at 20/20 vision from 1 foot away your eyes could not tell individual pixels apart. It generally means a pixel density of 300 or more pixels per inch. For a 3.5 inch iphone screen, 960X640 gives you about 325 ppi.
So within the next year, there's going to be 1080P 10 inch tablets coming out. At that resolution and at that size of a screen, that comes out to only about 220 ppi.
However, from the OP it sounds like the iPad3 will be a little bit below 1080P, possibly due to the 4:3 dimensions it has. I'm guessing the actual pixel density will be somewhere in the low 200 ppi range.
The display will probably still look great, but I wouldn't really call it "retina" display. No 10 inch tablet on the market within the next year will meet "retina display" standards, but there will actually be other competing tablets with slightly higher resolutions so it might be in Apple's best interest not to throw word "retina display" around anymore.