Can I create a website like Facebook using WordPress
Yes! you can do that.
Firstly you will have to design the static web page payout and then you can convert those static pages into wordpress creating a new theme.
There are lots of ready made themes in the marketplace.Just search in Google ,select one and do some modifications as per your taste.
BuddyPress is an open source social networking software package . It is a plugin that can be installed on WordPress to transform it into a social network platform.So If you know wordpress install BuddyPress and make your new social media website like facebook.