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.
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.
Definitely not. The idea behind this phrase is so disturbing and unethical that it should never be considered appropriate for any age group or type of audience. We have standards in society to uphold decency and this kind of content goes against those standards.