Yes, Snapchat allows you to mute someone without blocking them. You can mute their stories, snaps, and messages.
You just have to go to the Snapchat chat list and long press on the name of the friend that you want to mute.
Click on the chat setting to mute the conversation. Otherwise, click on story settings to mute the stories. Just like this you can also mute WhatsApp group notifications.
If you have muted someone's story then you won't be able to see their story in the front with other stories. But you can still see it by going to the end of all stories.
If you have muted someone's chat then you won't receive any notifications from that person. Even if he sends any snap, video, image, or message.
You can still see the chat and open their messages or snaps when you open the Snapchat app on your mobile.
Snapchat never notifies anyone when they get muted by someone. So, they can never know if you have muted someone's story or snaps.
They can guess when they see that you are not seeing their stories or snaps but they can never be sure about it.
You can do this by muting the Snapchat "message notifications". When you mute someone's message notification then you won't even know when they call you.
You will get to know when you open the Snapchat app and see the missed call from that person.
No, you can not know when someone mutes on Snapchat because Snapchat does not send any notification.
You can only suspect this when you notice that someone is not seeing your snaps or stories on Snapchat.
The best way to know this is to confront them whether they have muted you or not.