WICKED has one. I'm pretty sure BOM also does but I'm not entirely sure, WICKED is the only show I've tried the lotto before. Typically they announce in ads/tv spots in whatever city they are visiting if they are holding lottery chances. For WICKED, I know that they almost always have one, but I think it is up to the theaters that they visit.
"Life in theater is give and take...but you need to be ready to give more then you take..."
BoM requires presenters to have lotteries in their cities. Therefore, yes you will be able to lotto in Atlanta. Call the theatre to verify the details, but the format of the lottery doesn't typically vary from city to city.