Yup, this is very easy to do on Android. Long-press any notification, and you can change the notification preferences for that app.

The first time I see a marketing notification, I gag that app permanently. Takes less than 3 seconds. If this also prevents that app from being useful, oh well, time to uninstall.

In theory, Android apps can also categorize their notifications, so I could selectively gag them. But this takes me at least 30 seconds to figure out, and it doesn't prevent that app developer from abusing their categories. So I almost never attempt fine-grained control, unless it's an essential app. Normally I just block all notifications permanently on the first offense.