Concierge can do it but it's treated as a "guest recovery". It's usually not done if just asked, but sometimes the concierge (It can also be done by supervisors) might feel generous and do it. Never hurts to ask, but don't be surprised/upset if they say no.
Also, if you're staying 13 days, you might not want to go to parks 13 days... I go for 14 days, and only do parks 10 days.
Other days I do resort/Disney Springs and sometimes I add waterparks. I need a break every few days.