It would seem not.

I spoke to the staff at Hopkins, who were very helpful in obtaining an early test schedule for my wife. They are aware of our situation (though when I told them about the change in immigration rules it was the fist time they had heard about it) and said they can only "hope" that they get the result in time. They said it should arrive in time, but no promises and they will text us as soon as the result arrives in their office.

So all we can do is wait and concentrate on compiling the rest of our required documents.