No, I would not. But not because of vhd - if vhd was the only risk then I would, because my buns are vaccinated.
I wouldn't because of the risk of other illnesses that my buns are not vaccinated against, like cocci and E.C. Also, there's a fairly strong chance that a dog has weed/pooed on it.
However, you and your therapist may be interested to know that whilst I would not pick plants from ground level, I would happily walk through the fields and then go home and let the rabbits climb all over me and my shoes without washing them. I wouldn't even think about it. And the last two years Barney has not been vaccinated on time but 1-3 months late due to ill health, and I still wouldn't worry, as the vaccine still offers (not guaranteed 100%, declining over time) protection from vhd after a year.