Ignoring the obvious flaw of throwing out the importance of infinity here, they would be exceedingly unlikely but technically not unable. A random occurrence is just as likely to happen on try number 1 as it is on try number 10 billion. It doesn’t become any more or less likely as iterations occur. This is an all too common failure of understanding how probabilities work.

The Hippocratic Oath is not a legally binding oath, and many doctors are not required to take this oath or any oath for that matter. Basically, at the end of the day, oaths only matter to the people who have the strength of character to hold to them no matter the cost and most people do not have that strength of character. Oaths mean nothing to those people when it comes down to it, it’s just a thing that you said once, nothing more.