Does great writing stem from great suffering?

Russian authors Dostoevsky and Solshenitsyn both experienced the horrors of political exile and punishment. Hemingway experienced WWI. Dylan Thomas drank himself to death and Faulkner was an alcoholic as well. inson never married and lived as a recluse. Can one be a great writer without experiencing great suffering? Could the Great American novel be written by someone with a Leave to Beaver childhood? Could Eugene O'neill have written his plays if his childhood had been a happy one? I know I am begging the question, but it is late at night.