Wrong. It prohibits ALL PERSONS and ALL GOVERNMENT ENTITIES from taking life without due process of law.
The Constitution is a framework for government. It is not a legal code for citizens. Aside from treason, piracy and counterfeiting, (and previously alcohol), it does not constitute criminal law. The fed lacks a general police power, as all those were left to the states per the 10th Amendment.
The Constitution was meant to set limits on government power. To turn those limits on citizens while removing them from government is the height of irony.