Thanks for the answer, but I was aware of the complex details part of the aircraft. The Piper Arrow does have all three. The local FBO has one for rent but I do not have a "complex endorsement" in my logbook although I fly a multi-engine turbo-prop aircraft everyday here in Iraq.
I am asking can I fly a general aviation "complex" aircraft based on I already fly a much more complex aircraft along with type rating.
Like I said, I have a high performance endorsement, but I went from that straight to multi-engine turbine after 3200 hours flying AH-64 Apaches.