It's not impossible but you might have a tough time with it. At minimum, you would end up having to take a ton of leveling courses - probably two semesters of gen. chem, 2 semesters of organic chem and then another couple semesters of biology or biochem. If you're really interested though, I'd suggest that you go talk to a graduate adviser and, more importantly, make friends with the professor that you want to study with. I've known several folks who were able to sidestep some of the admission requirements because they had a prof who would vouch for their intelligence, dedication, capabilities, etc. Another option would be to take those courses ahead of time at a community college before applying for grad school. Be sure that you get all A's and work on developing some legitimate research ideas to present to a prospective grad prof. Lastly, I would advise you to think carefully about about your dedication to chemistry/biochem - is this something that you really want to do for the rest of your life or are you just interested in learning how to cook up a few recreational chems? (not making accusations here, just making sure that you've thought about it) If you do pursue one of these degrees, know that you will spend many semesters eating, sleeping and breathing chemistry and that much of it probably won't be the fun stuff that you really want to learn about. If that isn't a problem for you then I'd say go talk to a prof in the chem/biochem department right away and see what they recommend. Be persistent but polite and hopefully things will work out. Good luck!
 

Any chance at all of getting into graduate school for a Masters in Biochemistry or PhD in Chemistry with a mere business degree? I'm afraid I'll have to take a couple undergrad chem courses before they will even look at me.

Yep, I rechon Grenoville's advice is pretty spot on. This mere business degree, is in my opinion far from mere, ie It proves you can study at UNI level, many cannot, It proves commitment, and UNI's love mature age students.  They do, because they aren't doing it due to pressure from their mums and dads, and many of them dont know what the fuck they want to do, and having a student who does, is refreshing for the lectures and the professors at the head of these departments who at times take various units. I remember in Organic 1 unit, and the lecturer showed a molecular model kit. and at the end of the class, I asked him, how much were they, and where can you get em. He was blown out, cause out of around 100 or more students, from 2 or 3 faculties requiring organic chem etc, I was the only one who asked him such a question.

Another thing you could do, with reference in bypassing having to do some of these foundation chem/biochem units, perhaps ask them if you could sit some sort of test, that would demonstrate that you have a reasonable grasp of these areas. Perhaps talk to the adviser at the uni about this. Good luck btw

Frank

and the other statement you'll have to eat breath, eatm and sleep chem; is no understement, and it's usually very dry so you had better be commited to it.

Truth. I got into PSU's chem program but had to drop out due to different things happening in my life with my AAS in nursing.  The best bet, IMHO, is to do what I did and get all your pre-requisites done at a community college like gen. chem, the organics, inorganic, and such.  Then apply along the way.  It's SOOO dry but if you love it then go for it.  I'm going back to school for my PHD two years from now if everything pans out the way I see it. The piece of advice I learned is learn to love the math part of chemistry because it will come back to haunt you. Best Regards and a Merry Christmas!