Framing an outdoor fireplace with wood.

So, my fall project this year is a screened in deck with a fireplace. I had initially thought about building a cinderblock core structure and wrapping it in brick veneer. But now the wife wants to do a wood slats look. I guess she’s thinking something like shiplap. She’s sent me a ton of pics and I would honestly rather go this route than deal with masonry, to which I have little experience.

My question is, can I safely build a wooden frame for the fireplace, cover it in cement backer and fire blocks for the actual fireplace? And run a rolled steel chimney pipe through the center? Is this sufficient heat barrier? If not, what else do I need to do?