Samantha,
First off, you should check out my interview at the Disney Parks blog. You might recognize someone that is mentioned there (and I don't mean me)!
A Dad Is a Mom
As to your question, I have never done it, but I am sure that they will accommodate your request. Just ask as you check in. Calling about it in advance will do you no good.
The only question from me is why you would not want them to come in and refresh your room while you are out at the parks? Certainly you are paying for it. But assuming you have your reasons you should be fine.
Of course you could always just leave your "Do Not Disturb" sign up on the door for days where they are not needed.
Have a fantastic wedding, a wonderful honeymoon, and an even better life together! I am sure it will be magical!
And thanks for letting me be a small part of it all!