The answer is no.
With an SSL certificate the Fully qualified Domain Name (FQDN) does not include the '/', or anything after it. or the https:// at the beginning.
So, as an example, if I wanted my secure area to be https://support.comodo.com/myfolder the FQDN is support.comodo.com
Therefore you could not get a certificate for support.comodo.com/myfolder as /folder is not part of the FQDN.
We would recommend getting a second certificate for something like folder.comodo.com
Please note that you will need a second public facing IP for a second SSL enabled domain.