I'm sorry if this question seems strange or pointless.
Do you think it would it be possible to get a small cut (top layers of skin scraped off a very small area, not a stab) on your finger from jagged packaging materials or broken glass, while wearing pretty flimsy disposable gloves, and for the gloves to remain intact? No tears in them anywhere, and no blood on or in the gloves (although only a tiny amount of blood anyway, first noticed after washing hands with soap for 10-15 minutes after handling materials).
Gloves are very thin rustly plastic, like those shown in the photo. Would you expect the glove to be damaged if the wound happened while wearing it?