Is there any way to prevent an amazon block from redirecting away from my site?

My goal is to do a pop-up sales funnel, but if I use an Amazon block and the customer chooses to purchase, they are redirected to Amazon and the pop-up is now irrelevant.

I'm pretty sure it's a long shot, but is there any way to 'combine' the shopping carts, for lack of a better word? Make it so they only check out once using my website and Amazon would still receive the order?

Did you find a way to do this? I need the same ...