I believe the trees are Ironwood, so it is likely that they are very hard to carve.
I think Kypiq structures will be built upon tree branches and possibly around trunks with fallen timber and other non-living plant material. If there are available natural spaces within trunks, perhaps from decay of the internal wood, then those would be used as well. I don't think Kypiqs will make cavities in trees, but they might cut doorways to access pre-existing cavities.
Of course, this is all speculation.