No, if someone has a PE then they are a PE. There are other internationally recognized forms of engineering.
engineer [en-juh-neer] –noun
1. a person trained and skilled in the design, construction, and use of engines or machines, or in any of various branches of engineering: a mechanical engineer; a civil engineer.
2. a person who operates or is in charge of an engine.
3. Also called locomotive engineer. Railroads . a person who operates or is in charge of a locomotive.
4. a member of an army, navy, or air force specially trained in engineering work.
5. a skillful manager: a political engineer.
–verb (used with object)
6. to plan, construct, or manage as an engineer: He's engineered several big industrial projects.
7. to design or create using the techniques or methods of engineering: The motor has been engineered to run noiselessly.
8. to arrange, manage, or carry through by skillful or artful contrivance: He certainly engineered the election campaign beautifully.
etc. are all valid uses of the term and have equivilent education/certification to a PE that is recognized internationally. (Maybe not in specific countries [that use the term engineer very specifically] true, but in general - unless you'd like to go back a few centuries and redifine engineering ...)