This disease is characteristic of human pregnancies, and there aren't a lot of tests for factors known to predispose otherwise healthy young women to develop it, partly because a big chunk of the problem comes from your partner's genetic contribution to the pregnancy. Our Experts aren't even universally endorsing testing as necessary - because the thing about this syndrome is that it happens to humans, with awesome regularity, in first pregnancies particularly.
Once it's happened to you, you need additional monitoring in subsequent pregnancies because odds are that you'll have a successful pregnancy, but your tendency towards "breakdown of maternal tolerance" has been unmasked.
That might be genetic, might be environmental, might well be *both* - and it's utterly characteristic of human beings.
So testing will probably just tell any of us, oh look, you're human, making babies with another human. Nothing to see here, in other words. and the docs do not explain this well, in my experience anyway.