Interactive button that copies an image to another page when clicked

I’m very curious if this would be possible in InDesign and how to go about it (this is for a publish online document).

I’m creating an interior decor book for a client. I currently have separate pages for each category of things that need to be purchased (chair, cushions, rug, etc). Each page contains pictures of different options for them to choose from. Underneath each image is an interactive button to "select" an item so I know the particular one they want to go with.

I had the idea of adding a "mood board" page at the end of the book, which will contain a collage of all the things they’ve selected, so we can see how everything goes together. And I was wondering if it’s possible to add a secondary action to the "select" button whereby clicking on it adds a copy of the relevant image to the mood board page.

Essentially I would create a final page with a bunch of rectangle placeholder frames arranged in a collage. Since I have 20 categories of items, there would be 20 frames in this final page. When the client selects something from a category, the image that was selected is then copied over to a specific placeholder frame. The idea is that the client would go through the book and select the item they like best from each category, then at the end, the mood board would showcase a collage of all their chosen items.