No. It is an untimed down, and the only stat that counts is whether or not the 2-point conversion is successful. Want proof? Here's the most recent example I could think of off the top of my head. In Week 2, the Broncos scored a 2 point conversion, Cutler to Royal. Here is the full play by play:

http://www.sportsline.com/nfl/gamecenter/playbyplay/NFL_20080914_SD@DEN

If you go through line by line, you will see that Eddie Royal had 5 catches for 37 yards, plus he had a sixth catch on the successful 2 point conversion. Now here is the box score for the game:

http://www.sportsline.com/nfl/gamecenter/live/NFL_20080914_SD@DEN

Note that Eddie Royal is credited with 5 catches for 37 yards. He did not get credited with an additional catch. He did not get credited with an additional two yards.