To answer the basic question, yes, it is possible; however unlikely, if precautions are taken.
In a situation where there is the possibility of violence, it is always important the one that is most likely to be hurt be in the most control. This is why it is important for the donor to make the cut and be of sound mind and body, and go into the situation knowing ALL the details.
It is equally important the vampire learn control before putting another person in such a position where they may get hurt by an uncontrolled reaction.
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