I'm honestly not sure but I don't see why not...especially if you will have your BSN because that is definitely preferred. On my application, I did list BSN in my education. I just made sure that it was clear I did not currently hold a BSN but do have an anticipated graduation date and currently working towards that.
Also- from my understanding a computer first filters through the applications and will discard the ones that do not meet the criteria...so make sure you are using key words in your resume and application, such as BSN, words from Banners mission and vision statement, etc. Not sure if this is really true or not but hey might as well try