httrack follows/crawls the links of a webpage, downloading the included/linked
stuff. if a page has dynamic content from a database like php pages, it
downloads the php pages and saves them as html files. it doesn't download the
database itself and doesn't press send buttons, fill out forms etc. 

so, yes it can download webpages with contents out of a database, but no all,
depends on the webpage and the way the database is used.