I made a little module that mimics an iOS notification when using the phone (so, not a lockscreen notification that is).
It's customizable with App name, Timeago text, Message, and App icon. "showNotification = ( appname, timeago, message, imagepath )". So you can make push notification from multiple applications within the same Framer project.
I tried my best to make it look as real as possible, but free online PSDs and screenshots from my own iPhone 5s, perhaps didn't fully do the trick. But for a prototyping perspective, I guess it will work fine.
This is my first Framer JS and Coffescript experience so please be gentle (UX designer at heart and wannabe developer).
For now, it works best on iPhone 5 (and 4 I guess), looks bad on iPhone 6, and terrible on iPhone 6+. I will save that for a rainy day, or please feel free to add that support yourself here: https://github.com/leinerud/framer.iosnotification