But as of this very moment, Kim is not pregnant, a source tells HollywoodLife.com EXCLUSIVELY. Kim Kardashian & Kanye West Pregnant With Baby #2? When He Wants Her To Give Birth As HollywoodLife.com previously reported, Kanye has a special delivery date in mind for their next little bundle of joy Kims 35th birthday on Oct. 21, 2015! Kim and Kanye are in holiday bliss mode, and theyre having sex nonstop, a source tellsHollywoodLife.com EXCLUSIVELY. Theyre on a mission to conceive!