It's very possible. Sharepoint has a tool that lets you change the homepage of a site but it's well hidden for the public site. For E accounts, open the web page library, click "page" at the top, select a page and click "make homepage". If that isn't there in a P account, you'll have to do it in Sharepoint Designer.
Open site in SPD, allfiles>>pages>> select page>>, click make home page in ribbon tools.
So to change your urls:
save a template of your default.aspx page
create a new page based on that template with a web address of "home.aspx"
make that page the home page.
Repeat for other pages.