Of course!  The word "chance" has gambling connotations, while the word "luck" is loaded with superstitious undertones :-)  The only difference comes from the perspective of the person you ask.

The generic term, the mathematical term, is probability.  I guess the guy who thinks payout from different pools on different days are controlled by "chance" had a dad who played the ponies.  While the guy who calls it "luck" had a mom who believed her horoscope, threw salt over her shoulder and knocked on wood for "good luck".

My mom was an engineer -- I call it probability. 

thanks,

-dave

who *did* have step dad who played the ponies, and a grandmother who pitched salt -- so don't go getting all offended, now