To be technically correct, engineer licensing is handled at the state level and each state does it differently. In Texas, the title "Software Engineer" does mean something and if you are not a licensed "Professional Engineer (PE)" and attempt to claim to be a Software Engineer you can get into a mess of trouble.
I have an ABET accredited Masters of Engineering degree in Computer Science (from a state school no less) but I never sat for the Fundamentals of Engineering Exam nor completed the required apprenticeship period (or sit for the PE Exam) so I cannot claim to be a Software Engineer. (However, I've got nearly 12 years of industry experience as a software developer).