A couple thousand people probably get in without their bachelor's every year...
I applied while finishing up my prerequisites (with the goal of having them done by May before enrollment). I was 4.0 student at the time of applying (though that changed that very semester... thanks to a B in first semester Organic Chemistry (taken at the same time as Quantitative Analysis and overall 19 credit hours worth of classes... with three labs). And as everyone was saying, there is no way they wouldn't accept the only person in recent memory to get an A in Quantitative Analysis from my very strict professor.
I also volunteered for the Red Cross for three years, mentored for a local school district, did freelance translating, was active in a couple clubs on campus, and won a few awards. And I worked in a pharmacy since April of my freshman year of college. And I interview very well - I like to talk.