Probably not. Looks like he's getting to work on destroying the eggs. This guy looks more to be the "deal with house yus, have a little fun, get back to being lazy." Waiting for eggs to hatch, not to mention finding somewhere to keep them during and after sounds complicated.
God damn kiri's yukkuri are so adorable. Its only been 5 pages and I have HNNNG'd countless times already. But this story feels like its going to be a short one. While another 20 or so pages of just abuse would be entertaining to some, I personally feel that it would get rather boring and repetitive. Hopefully theres a twist in the story somewhere, or perhaps this family is only a small part of a herd.
People seem to forget that "Yukkuri fact" is whatever most people are willing to agree on, and there is very little about them that can be considered universally false (since it seems like artists are allowed to offer their own rules and interpretations as they see fit). Eggs have been used as a method before this, though you could argue that since Kiriataa is using them it's become more mainstream.