No. We are entirely focused on web hosting and our Terms and Conditions of Service expressly forbid the use of our ssh server for any purpose other than maintaining content hosted here. That prohibition definitely includes using our ssh server as any kind of web or SOCKS proxy for accessing the Internet.
We try to run an open system that provides our members with the most powerful tools for managing their content. As a result, we allow outbound network connections from the ssh server for people who need to move content from/to elsewhere, and we allow ssh port forwarding so people can access their MySQL processes from offsite and so that they can securely access their own sites hosted here.
However, we can and do check for outbound network connections that use our ssh subsystem as a proxy, and our system automatically kills them. Furthermore, we may be forced to take appropriate action if we observe repeated or blatant attempts to misuse our system in this way, including but not limited to revoking ssh access (which will require you to use our paid support to regain) or, in extreme cases, terminating a membership.