So I have a domain hosted on an account where I cannot access the EPP code. The administrator will not respond to my e-mails and I do not have a log in for the registrar's website. The domain is registered in my name. Is there any way that I can get the EPP code and transfer it away to another host?
You will have to contact your domain registrar to get change of your contact email address. Once you get change the contact email address then ask for the EPP code for your domain so that they will provide it to you.