There several artists with this name:
1) Lady Luck (born 1982) is the stage name of rapper Shanel Jones.
2) Lady Luck were an American punk band whose members included Roger Miret (Agnistic Front) 1) Luck signed a five-album record deal with Def Jam, worth between half a million and a million dollars, at the age of 17 on the strength of several freestyles that she did for New York radio station WQHT-FM.

Read more about Lady Luck on Last.fm.