Perhaps but not a whole lot or not at all. Checking out my uncirculated mint sets, the coins in there by themselves barely move as it is, I'd imagine the amount of space with two crammed in there won't give them much room to slide or rub against one another unless shaken hard.
Rodeo is correct about the coins being crammed together. The cent does not move with normal handling of the set. A 6 foot drop may move it, but I'm not trying that!
I got a coin, also inside a mint set, and I have no idea how the damage was caused. This is sealed in:
It looks like a scratched die. The GOD is not damaged, but the fields surrounding it are... The mint's quality control these days is LOL.