They can survive it, but will likely come out of lay for a couple days even after re-feeding commences. I would find a way to provision them with additional water. It would be better yet to have someone stop by and check on birds. What you do not want is the unforeseen making your stay away longer than planned.
In less than an hour I will be showing someone how to care for my birds, dogs, and cats while we are out of town for 36 hours. That person will also be house sitting to keep normal routine up for our critters. That person has done this before.
In less than an hour I will be showing someone how to care for my birds, dogs, and cats while we are out of town for 36 hours. That person will also be house sitting to keep normal routine up for our critters. That person has done this before.