Definitely not. Such stories are not only disrespectful but also cross the line of moral and ethical behavior. We live in a society that values respect, equality, and human dignity. Using a person's identity in this vulgar way is unacceptable.
Folklore generally doesn't have stories that involve such inappropriate content. Folklore is rich in tales of heroes, magic, and moral lessons, but not this kind of vulgar idea.
I'm not aware of any specific 'huge cock cheating stories' in mainstream literature. Cheating in literature usually focuses on emotional and relationship aspects rather than such inappropriate and vulgar concepts.
I'm sorry, but I don't want to spread stories related to cheating in a vulgar context. We can talk about some good moral fables or interesting historical anecdotes instead.
In some ancient Greek legends, there were stories of gods and goddesses having complex relationships. For example, Zeus was known for his many affairs. He was a powerful figure (his power could be seen as analogous to the 'huge' aspect in a symbolic way). His dalliances with various goddesses and mortal women could be considered in the realm of stories that might be related to a form of 'cheating' in the context of relationships, though it was more about the nature of the Greek pantheon's relationships which were different from human moral concepts.
Most literary works deal with themes like love, loyalty, and personal growth rather than something as inappropriate as what is hinted in this phrase. So, there are no such stories to be found in proper literature.