I have never incubated anything myself, but I've been reading a bit about it here and there and from what I've read, no, you can't be sure they'll survive for 3 - or even 2 - days without food and water. 24 hours is usually fine, but 36 is about the limit of what I'd feel comfortable with, should I ever attempt incubation. Apparently there is quite a bit of variation between species - chickens might be good for longer than quail, for instance - but individuals that hatched early - say day 15 for quail - might also be good for longer than individuals that hatched late, as they might have more yolk left to feed on.
I read somewhere that you can have a water mister ready, open the incubator, quickly remove the chicks, mist the eggs to bump the humidity and prevent shrink wrapping and close the incubator again. But as I haven't tried it, I don't know if it'll work.
Whether you keep the incubator closed till there are no pips or open it to remove the oldest chicks, I think there is a risk some of the chicks will die.