To answer your question: not quite. They are simply saying that it is difficult to start a career in journalism.
Additionally, both break into and get into in this case have the meaning of becoming a part of something, typically some sort of group. However, break into also has the implication that the accomplishment is difficult, without actually having to say so. For example:
If my novel is as good as I think it is, I should be able to break into writing as a career.
It's harder for a woman to break into the executive level of a corporation than it is for a man.
Get into doesn't have that same sense of difficulty:
I'm going to get into writing.
I'm going to get into Sunday School teaching.
Now, another meaning of break into is burgle, as in break into a house.