When something or or several unlucky things happen to you and you just hate it. If you don't want to take shit from your life anymore, you say "fuck my life."
Tom just found out that he owes a lot of money to companies. On top of that, he has a huge deadline soon that he knows he can't make. Also, his girlfriend is really getting on his nerves lately. Tom is fed up with the shit that his life and luck has shat on him, so Tom said "Fuck my life."