Custom Site Structure

I have an old website that is in desperate need of a redesign. It has hundreds and hundreds of incoming links that generate a huge amount of traffic. I also get a large amount of SEO traffic to a few pages.

I’m considering using WP for the new site and as a CMS.

Because of the incoming links and high levels of SEO traffic on a few specific pages of the old site, I need to keep the structure of the overall site and URLs the same.

Is that possible in WP?

For example, many of the most critical pages currently have a url like this:

http://domain-name/directory/subdirectory/index.html

Will I be able to recreate this structure in WP?