Option to dismiss notification on my desktop but leave it on my smartphone

Hello. Is there an option I can dismiss the notification in Chrome but leave it on phone? When I press on the notification or the cross button the notifications are dismissed on my smartphone. It's so important because I want to take advantage of your last implemented functionality of persistent notification on Chrome in order not to miss important ones. But many of them I don't want to leave on desktop but I need to proceed them on my smartphone later.