Yes! All incoming Architecture (B.Arch.) students will spend one semester in Rome and one in New York City during the 4th year of their program. Students will be assigned these semesters when they come to AAP.
It is difficult for B.Arch. students to study off-campus anywhere besides Cornell in Rome and AAP in NYC, due to studio requirements for the degree. Studios in Rome and NYC count towards graduation requirements just as Ithaca studios do, so they will ensure you are on track to graduate on time.