Yes definitely!
Gorilla glass isnt scratch proof at all, it just offers a certain level of scratch resistance.
https://www.youtube.com/watch?v=d2jav7UdQtE
Tempered Glass - Yes
Screen Protector - No
And back in real life, it only took my Xperia phone one face down trip to the footwell of the car to come back with 3 scratches across the screen! Pretty sure there were no stanley's or sharp tool things down there!![]()