Nonresinous woods (basically, hardwoods - which includes figs and pluots) need to be used a bit more carefully because they are a bit more prone to mold, but they *can* be used as long as you are attentive.
Chippings won't be absorbant the way shavings would be, but certainly they will intercept poo and keep it from sticking to the floor, so if you have a free source I suppose it is not an unreasonable thing to do.
If you care a lot about bedding performance, you might be better off using pine shavings (which is what most people use) for bedding, or whatever has previously been your bedding of choice, and just dumping the wood chippings into the chickens' run for the chickens to poke around in. With the continual addition of chicken poo they will gradually compost down out there -- you can, at some point, remove them for use in the garden, or let them stay there in the run IF your run is not at all inclined to mud or dampness or flies or smell. If you have any of those issues with your run, I would suggest removing any woodchips before they start to get too broken-down and add to the problem.
Wood chippings make excellent garden mulch, btw, if you end up with more than the coop can use.
Good luck, have fun,
Pat