1: You'd probably be better of asking this in the stupid questions thread.
2: Yeah, he can do it. He's done it before. He's copied Wonder Woman's powers and weapons and those are gifts from the Helenic pagan gods. I don't see why he couldn't, either. "Outside the realm of science" doesn't make much sense to me. Science isn't a thing, it's a method of analyzing data and the ubrella term for several different fields of study that use said method to varrying degrees. Magic powers and stuff, in the DCU at least, are still ultimately phenomena that effect the universe in some way or another. Just because they're tied to sentient minds but aren't achieved through technology or the scientific method doesn't mean that a computer will start going haywire and say "love... does not... compute" before exploding if it tries to figure out how it works.
That being said, I doubt he'd be able to copy The Spectre's powers, simply because the Spectre's probaby too powerful for his abilities to be synthesized, and I doubt he'd even allow Amazo's scanners to get a lock on him.