This is a difficult question. In my experience, yes, they can harm the other eggs by kicking them around and making the chick malpositioned. With regular sized eggs in the NR360, many people leave the turner in, but turned off at lockdown, that way the chicks can’t move the eggs too much. Putting bumpy shelf liner below the eggs helps as well. I raise quail, so leaving the turner in still leaves room to get kicked around, I’ve been making little channels for the eggs to sit in at lockdown, with extra strips of shelf liner on either side of a row of eggs, this keeps them from rolling side to side and has worked well for me.
Once hatched a chick can remain in the incubator for up to 24 hours. If one is injured or in distress you should remove it as quick as possible, get everything ready and plan your movements before opening it. Many people will use a straw or pipette to add water to a paper towel inside the incubator if they need to open it, recently Ive tried just dampening a small piece of shelf liner and tossing it in there, the porous nature of it gives a lot of surface area to spread moisture from.