Yeah. In the past it was much more likely, but now... there was only one author new to Trek that published a novel in the past two years combined, Tony Daniel, who already had several published original novels to his name.
EDIT: Actually, it goes back further than that - Marco Palmieri edited the novels up until 2008, and he made it a priority to bring in new voices, but since he's left the only new writers to enter Trek have been projects he had already commissioned before leaving, former Trek novel editors, or Tony Daniel who I mentioned above. So in 5 years, none of the editors have reached out to new authors, with only one exception. Your chances are not high!