Yes very much so, and it is free. You can either follow this guys approach: http://linux-blog.org/host-your-own-domain-and-webserver-using-apache/
Also a good read is this topic by Apollo: https://eoserv.net/forum/topic/4315
But on a side note, hosting a website off your computer is not really all that safe. Since I doubt you will be able to put all the protections you need, I highly am against it. Specially if that is the only computer you have. When you host your own website you will need your computer on 24/7 for
the website to be up. Also, websites hosted this way are normally open to more attacks since you have less security. So if possible use a scrap computer you do not really care about to host your website.
