There is always a chance. Prestigious universities such as Stanford, Harvard, or MIT enroll 3-5% of applicants. High academic performance, strong motivation letters, recommendations, commitment, and an active life position are required by default. There is no surprise here.
What really sets you apart is your personal history: motivation, vision of the future, research plans, work experience, and already some kind of expertise in the specialty you are applying for. Top universities look not at the passing score, but at the student's personality. They assess what he can bring to the university, how his knowledge and skills will make the life of the community better.