Well, I wouldn't say crazy
, but perhaps, overzealous
Could it be done? Sure, but you're probably going to be one unhappy puppy. I agree with TexasAngel regarding starting off with a science, and maybe the psych and computers. Or maybe even chem, a&p (usually this is a two semester sequence... is that the case at your school?), psych, and computers. That would be ambitious enough.
I know you want to get into nursing school ASAP, but as some wise people once said "It's a marathon, not a sprint," i.e. pace yourself. You don't want to burn yourself out at the very beginning, nor do you want to put yourself in a position of having to drop or repeat classes because you bit off more than you could chew. Start small, get your study skills mastered, and then add on.
Also, check with the school to find out what their application requirements are. Some programs will take applications if the student is still working on pre-reqs (usually an admittance would be conditional on successful completion of the outstanding courses). And if you DO end up with a lag time between finishing the pre-reqs and the start of clinicals you could always complete any other co-reqs that the program has or if you are thinking of going on to a BSN program (I'm assuming you're currently looking at an ADN program, but correct me if I'm wrong), you could start chipping away at pre-reqs for the BSN. You could even just take some classes that interest you to keep your study skills fresh. Or just enjoy the free time! Volunteer at a hospital or whatever.
Good luck to you!