Point new domain at subfolder of existing domains hosting?

I have an ex开发者_如何学Cisting domain which has some hosting, I recently purchased a new domain which is for a seperate site. Is it possible to host my new site in a subfolder on the existing hosting? I know you can use web forwarding but doesn't that have negative SEO implications?

It should be possible to set up an additional domain on your hosting, and it is usually labelled "Addon Domains" in your control panel.