Fellow Arts kid here: No, your subjects from previous semesters will be taken down once the new ones go up, but there's nothing stopping you from downloading the comments and feedback before hand. I don't actually know how to do this, but given the laconic (<100 words) feedback in most subjects, you could probably just copy some dot points onto a post-it note and that would suffice 
Went looking round the LMS, and in the essay submissions link (turnitin), you can "view submission", actually download (as PDF) your entire essay with comments. some of my tutors have been pretty good and wrote >100 word constructive feedback with various specific feedback in between the essay (for eg: reference needed for a particular sentence).
learned something new everyday! hope this can help fellow students as well.