No, dear. If you would even think that, then your spirit is awakened.
The natural man does not think on this level and does not consider himself condemned. He believes he is a good person and G-d will judge him by his earthy good deeds, not by whether he has lived his life perfectly without sin. Those who have lived thusly are not subject to physical death.
Since there are none who have not sinned, no, not one, we need a Savior. Jesus lived a perfect life, and, so, He Is.