Here's a
link to show which states require blood tests and which don't. (I didn't see New Troy on the list.)
The purpose of the test is to find out if either party has an STD or is HIV positive (or has active AIDS). Since this is a pretty easy and very simple test, and the samples are destroyed after testing (where would anyone keep them?), I doubt that the test would reveal anything funky about Clark's blood.
Many states no longer require a blood test. Most of those which still do apparently need the proverbial "note from your doctor" documentation for the blood work. I think it would be easy to get around, unless New Troy requires that a particular person draws the blood, or if some lab tech used Clark's sample to do some homework.
