No. The Common Application no longer allows students to upload documents, as too many students were uploading resumes and college’s don’t want resumes, as the information is duplicative of other sections of the Common Application. If Princeton wanted a resume in that section, they would have included the words “resume.”
So, my recommendation is to NOT upload your resume, nor include that information in the Additional Information section, but bring a one-page resume to your alumni interview in case you are asked for one. Here’s a sample resume: http://talk.collegeconfidential.com/college-admissions/1667731-college-interviews-resume-vs-activities-list-p2.html