subdomain to blog page

Hello.
I have a wordpress site at http://www.mywebsite.ro.
The actual blog section of the site is on a static page called “blog” and when i access that link, the url is http://www.mywebsite.ro/blog/
I want to make the blog section of the site (the static page called “blog”) to be accessed using http://blog.mywebsite.ro
Is this possible without a new installation of wordpress at http://blog.mywebsite.ro because that would be impossible since my hosting plan only includes one sql database.