Can I create a page with a range of products using the Create-a-Product API that all show the same images and text on them?

Yes, you can! There are a few steps to doing that:

1. Create templates for each kind of product that you want to appear. To learn how to create templates, go here - https://help.zazzle.com/hc/en-us/articles/219145288-Creating-a-Product-Template
2. Place all of those templates into the same store category. To learn how to do that, go here - https://help.zazzle.com/hc/en-us/articles/220679787-Store-Category-Sorting-and-Browsing#How%20to%20Set%20Up%20a%20New%20Category%20with%20Custom%20Icon 
3. Create a multiple products link using our Templates Buffet link builder.  To learn about Templates Buffet link builder, go here - https://help.zazzle.com/hc/en-us/articles/360033427394
4. Voila!  You’ve done it.