Yes, but it isn't shown on-screen it's people talking about what's happening and watching nuclear rockets move on a map in real time. We don't see the nukes hit the ground.
Episodes one thru three are safe
In episode 4 there are a little bit of flashing lights. When Xavier is walking home in the morning there is a trailer backing up towards him and its back lights are flashing. They aren't strobing but it didn't help my sensitive eyes that this caused Xavier to have a flashback to that processing area when he and his kids first arrived and it had those flashing lights that we'd seen from his daughter's memory of the place. Later in the episode Xavier is walking over to where Billy is at the carnival and some lights on a carnival booth give a flickering effect for a few seconds.
A main character is killed by a jagged, heavy object, and there is a fair amount of blood around him on the floor. In episode three as well, one of the characters is daydreaming/daymareing? Idk, and she imagines him and he ends up bleeding on to her shirt