yes in short there are in fact a few ways to customise this. I am not sure if the exact end result you are wanting will come from my suggestions but here goes.
Note- I am using a note 5, th UI is different but the fuinctions are all there but perhaps with different names.
1st Method
Go Settings>>Sounds & Vibrations>>Sound Mode>>Set to Vibrate or Mute
This will give either no feedback sound or vibrate or just vibrate, but will still populate a notification in the notification bar; If you only want pop ups or lock screen notificationas skip to the (**)
2nd Method
Go Settings>>Sounds & Vibrations>>Do not Disturb>>Turn On
If you only want pop ups or lock screen notificationas skip to the (**)If you wish to thos AND get a vibrate notification then from there;
Go Allow Exceptions>> Custom
Deselect anything you don't want, and select what you do, but if alert you want is not listed (i.e. from a specific app) from there
GO priority app notifications select tha app(s) turn it on
Now once the apps that are to override your do not disturb setting are selected you must...
Go Settings>> Application Manager>>Specific APP>>Notifications>>Allow notifications (on), Preview in Pop-ups (on), Set as Priority (ON) Hide On Lockscreen (off)
Lastly doe Method 1
Go Settings>>Sounds & Vibrations>>Sound Mode>>Set to Vibrate
That will get you, on the specific app that you want to be alerted to, a vibration a popup, a notification bar line, and a lock screen alert!
I have saved the two most simple ones for last.. If you want only a pop-up and a notification in the Notify Bar and on Lockscreen, but no sound or vibrate from an app that doesn't already do this (i.e. Messages, Hangouts,Calendar Events & Remiders already do) then...
(**)3rd Method
Go Settings>> Application Manager>>Specific APP>>Notifications>>Allow notifications (on), Preview in Pop-ups (on), Set as Priority (ON) Hide On Lockscreen (off) then
Go Settings>>Sounds & Vibrations>>Do not Disturb>>Turn On
Finally if you want to tweak exactly what happens when iformation comes from as few as one but as many as every app installed then I have read great things about the app found in the Play store
=>>HERE<<=