Whether a program accepts another type of bachelors degree an applicant still needs to be an RN and have the ICU experience. You have 3 main options if this is what you want to do:
1. Attend an ADN program (associates degree), work in an ICU then apply to a school that allows other degrees
2. Attend a BSN program, work in an ICU, then apply
3. Attend an accelerated BSN program for people who already have a previous degree, work in an ICU, then apply
You may not have all your pre-reqs for nursing school yet. They differ by school. Good luck to you.
Here is the website for the AANA. They list all accredited schools.
http://www.aana.com/coa/accreditedprograms.asp
Nursing News