Jumping from an ABA to an MBA?
Definitely, but, as a CS grad, then later, an MBA grad, I do have to say that the MBA degree won't help in the tech world, at all, unless you're looking at management opportunities or starting your own business. Getting a Master's degree part-time does impress most employers, however. Since it sounds as though your enjoy academic challenges, go ahead and give it a try, especially if there's reimbursement for tuition. But frankly, you would just be doing this for your own personal development; there's just not much out there right now for MBA's, unless you go full-time to a national top-20 program.

I've found that a Master's in CS is no better than a Bachelor's, so if you're thinking about a CS part-time Master's degree, while you're working full-time in tech, skip it. I once worked for an medium-to-large tech employer (about 2,500 tech staff) who was dead-set against MSCS grads, even at the same pay, since they were afraid that the MSCS grads would expect faster promotions (and frankly, be much smarter than their boss). So, it seems that, in recent years, one has to step up to the PhD level in CS to get a big career boost.

Anyway, with your ASBA, you will not likely have to complete any prerequisites, which are just UG survey courses in Accounting, BA, Finance, Econ, etc. I'll say that if you have a CS BA, you've got the math chops, also, you have the BFA, so you can communicate well (extremely important in B-School...watch old reruns of the TV show "Paper Chase" to get an idea of the MBA classroom, since it's similar to a law school class), so you will likely do very well. I would caution, though, to try to attend the best program in your area. No one hires or promotes from weak programs, though you can get into a B-School PhD program from one, from what I've heard.