Based on the following statement published on the official WooCommerce website, you can't override the archive.product.php file in Genesis
WooCommerce Tutorials
The tutorials in this archive relate to the modification of WooCommerce via your Genesis child theme. The code is guaranteed to work as shown in the demo images and videos. Installation of all code as well as support for PHP code is provided for members. Note : Usage of WooCommerce in Genesis and the code/templates in these tutorials requires the activation of the Genesis Connect for WooCommerce plugin.
How To Make WooCommerce Shop Page Images Link To Other Websites
Good question asked recently about making the shop page product images link to external sites rather than the single product page. This
Filter WooCommerce Main Product Image
This tutorial provides 2 code snippets which enable you to filter the main product image on the single product page in WooCommerce. As seen
Remove Essence Footer CTA From WooCommerce Pages
This code removes the Footer CTA widget from WooCommerce pages in the Essence Pro child theme by StudioPress. Code Installation # Using a
Custom WooCommerce Product Image
This solution enables you to modify the main single product image in WooCommerce. This main image is the image added via the Product Image
Add WooCommerce Product Images Using ACF
This code enables you to add product images using Advanced Custom Fields. You can add a unique product image on any Edit Product screen