There’s no drug I can think of that is present in the blood in such great concentrations that a transfusion would communicate the high, certainly not without killing the donator or the donatee. Nor does receiving mismatched blood result in anything resembling a high. I concede that the placebo effect can do many remarkable things.
However, given that NYT’s citations are decidedly hazy, I’m more inclined to believe this is a rumor that got too big for its britches. Maybe a pharmacist out there can convince me otherwise?