Yes, because the Declaration states that people must follow these rules to live a specific way, which they have. People live up to the Declaration by supporting, enforcing, and carrying out the ideals expressed in the Declaration. I personally believe Americans have fully lived up to it as it's the foundation for success and how things work smoothly in the United States.
Sadly, most Americans today live in the illusion of freedom and therefore do not question it, or the government. The Declaration of Independence called for careful monitoring of government power by citizens. Now, it's the other way around with the government carefully, but illegally, monitoring citizens. By trading freedom for entitlements and social diversions, Americans have allowed the ideals of the Declaration of Independence to erode, wither, and die.