How feasible is a career change to database administration?

I have recently decided becoming a lawyer is not for me; after three years of working in the legal field as a non-attorney and agonizing over whether or not to attend law school, I have realized I simply don’t want to become an attorney, nor do I want to accrue the debt needed to become one. So, over the past few weeks I’ve been researching other careers. Of everything I’ve researched, I think database administration is the most interesting, would satiate my passion for math, problem solving and learning new languages, and my interest in learning some actual technical skills beyond critical thinking and deductive reasoning (which, on their own, simply do not seem “enough”). I also know that this field is growing enormously and I think it would be exciting to be a part of that. It also just seems like a fun job.

However, I don’t know any programming languages, haven’t studied math since high school, and regrettably, did not take any computer science courses in college. I realize the inherent limitations on any responses, as you don’t know my aptitude for learning computer languages, but assuming I am relatively smart and am willing to work hard to catch up, is getting into this field this late in the game possible? (I’m hoping yes.) If yes, then does anyone have any recommendations as to how? How difficult would it be to learn SQL and Oracle, etc. on my own, or would I need to take fundamental courses in math, statistics and programming as prerequisites? Will I be severely disadvantaged without having a BA in computer science (mine is comparative literature)? Any help would be very much appreciated!