You can, but if you do, Amazon will no longer send Amazon "Smile" micro-donations to whatever charity you've selected: https://i.imgur.com/wNAkUAT.jpeg .
I can't say that this is underhanded, but it does cast into sharp relief the fact that Amazon is a $1.5 trillion dollar company that generates upwards of $3B in yearly profit, and they're jerking you around, dangling the pennies they would otherwise send to a charity, unless you let them feed you product recommendations in OS notifications. (If you just disallow the entire Amazon app from sending notifications, as far as I can tell they still give the charity whatever 0.5% cut.)
So I have to choose between 1) allowing them to send me product recommendations, 2) a poor UX because I don't get any notifications at all, or 3) just not sending the charity any of the scraps of my Amazon transactions. I chose 3 and cut the charity a larger check than usual.