No. Old crinkled bark takes time to build up on trees. This is a relatively young, nursery-grown tree. Bark isn't going to be all that crenulated, furrowed, etc. on trees likes this (and in the wild too). Native live oak saplings have smooth trunks for years before they get the thicker, crusty bark that is part of their signature.
Saw toothed oak is not a native to North America. It's naturalized and in some places invasive. Common landscape material. FWIW, selling a beech in Florida would lead to a lot of returns/refunds. That species isn't native, or common, in the south because it doesn't like the climate all that much. Likes colder winters.