Michael,
Yes, there are some delivery options from area stores. Here are a few that you might be interested in;
Goodings, a nearby grocery store delivers to Disney Resorts. I have not used it myself, but if you visit their website at
www.goodings.com you will see that there is a minimum order requirement, as well as a fairly significant delivery charge. It appears that if you are ordering a lot, it might be worth it.
Another choice is
www.gardengrocer.com. Again, I have not used this myself, but it appears there that you have a lower delivery charge, and can get that waved with very large orders.
I can't recommend either from personal experience, but have heard good things on both.
I hope that this helps?
Please feel free to ask me any follow-up questions from my bio page.
Have a magical vacation!