I had to do something similar to this in the past, where the website client wanted users to be able to mark items as favorites, and then email that list of favorites to the client for pricing and further information. Rather than building a whole e-commerce setup, I used webform and webform view.
Here is the basic setup:
Create 'food item' content type or whatever will be most appropriate for each of your food items
Create a view that displays the food item nodes.
Create a webform that collects user information (such as contact information when submitting an order
Embed your food item view in that webform using the webform view module.
When people then fill out the form, they can select which 'food item' nodes they, want, the quantity, or any other custommizations that you can create using the webform (special requests, delivery method, anything you'd like). They will also enter in any relevant contact information and send it to you as a standard webform.
Webform view has great documentation. It can be a little confusing the first time you try to use it though, so I suggest you follow exactly the documentation in webform view to get an idea for how this module works, and then modify it accordingly for your food item view.
I liked this method too as then the food items are their own content type, so if you do want to do something with e-commerce for real in the future, you should be able to migrate those nodes to products for something like drupal commerce.