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.
In a 'big cock dog bite ballbusting story', we could imagine a scenario where there is a big dog on a farm. There are some spherical objects around, like watermelons or large balls used for some farm - related activities. The dog, being curious or perhaps just in a rambunctious mood, goes up to one of these 'ball - like' objects and bites it. The force of its bite might be so strong that it causes some sort of destruction to the object, like cracking a watermelon or deflating a large ball.
There could be a story where a dog has a chew toy that looks like a ball. A cock comes near out of curiosity. The dog, instead of biting the cock, just barks a little to keep the cock away from its toy.
Since I don't have any prior knowledge of this 'cock broke ballbusting story', it's difficult to say. It might be a story that involves some sort of accident or incident related to the named elements in a very unique or fictional context. Without more information, it's impossible to accurately describe what it's about.