Do you already have photos in a cloud storage service somewhere, and want to have the store be able to access them? If so, which cloud storage are you using? Most of these stores require you to upload the photos directly to their server.
I don't there's a way from Drive. But if you upload your photos to Google+ Photos, you can then use the Picasa program for Windows to order prints from Snapfish: https://support.google.com/picasa/answer/19599?hl=en