As you had pinned it ot this particular lesson I had assumed that you had confused the two terms, so sorry about this.
Sort had many meanings in French ( fate/spell/curse) but you cannot say,
Furthermore it is associated with bad luck rather than good fortune.
Je ne veux pas être dans le même sort qu'elle = I don't want the same fate as her
J'espère que ce nouvel emploi va améliorer mon sort = I hope this new job will improve my lot.
C'est comme si elle m'avait jeté un mauvais sort = It's just as if she had cast me a bad spell
Hope this helps!