There isn't anywhere to find statistics for just the games prior to the All-Star game. For the entire regular-season, Magic Johnson was an All-Star in 1992 without scoring one point the entire season, as he had retired and didn't play a game that season aside from the All-Star game.
I though that the lowest PPG average might have come from someone who was an All-Star in the seasons before the shot clock was invented--when teams generally scored around 70 PPG. But, the lowest I found was Dick McGuire, who averaged 6.9 PPG in 1956--the same as Ben Wallace in 2003.
Anyhow, the lowest PPG for the entire regular season of the year that they were an All-Star, that I could find was Mark Eaton in 1989 where he averaged 6.2 PPG. Yup, it's a defensive specialist.