Not sure about most things transferred via touch/sneeze but I imagine lack of moisture would cause anything living to die fairly quickly.
Except aflatoxin.
If you source your green tea from a Japanese tea farm, this is really not a concern. Farm workers all wear gloves and masks, and the tea leaves are harvested directly from the tea bushes to a net via a machine.
Additionally, the tea plants are covered by cloth for up to a month before harvest, dramatically reducing the chances of bird droppings.
They are also steamed, rolled, and dried by mechanical devices which remove virtually all moisture.
How about the people touching / sneezing on it in the packaging factory?