No. This is not a common type of story at all. It involves rather vulgar and inappropriate concepts that are not typically found in mainstream literature or storytelling.
No. This combination of terms is so strange and inappropriate that it doesn't belong to any known legitimate genre. Genres are typically more refined and family - friendly or at least follow certain standards of decency.
Without more context, it's impossible to tell a story about 'CBT break big cock'. If 'CBT' is an abbreviation for something other than the common ones we know, and 'big cock' is just a random object or concept within that made - up scenario, we need more details to create a proper story.
There was a big cock who lived on a farm. He had a habit of exploring new places. One day, he found his way into a shed where the farmer stored his old bowling balls. The big cock, not knowing what they were, started pecking at them. As he pecked, one of the balls rolled and hit a stack of wooden crates, causing them to tumble. This 'ballbusting' incident led to a lot of commotion on the farm as the animals came to see what had happened. The big cock just stood there, looking rather clueless about the chaos he had caused.
No. Such a story with the term 'ballbusting' in it has undertones that are not appropriate for a wide range of audiences. It may be okay for a more adult or very specific group that is okay with edgier language, but not for the general public, including kids and those who prefer clean - cut stories.