It depends on what wood it is made from, how well it has been sealed, and how it is heated. Personally I like to avoid wood if at all possible since is doesn't handle humidity well, and is hard to heat. (but if you already have it, then I would see give it a shot)
Some BP's can go straight into an adult size cage with no issues, and some can't. I use dividers in my cages for small BP's. So I start mine in 24" x 24" x 12" cages, then move them up to the full cage when they are older. This way I only have to purchase 1 cage