Is it possible to link to the accessing user's profile page?

You could do this using a small bit of javascript in a widget that would be placed in the header or footer of the site, this widget searches for a specific class name in the html and replaces that with the current users url.

You could do this using a small bit of javascript in a widget that would be placed in the header or footer of the site, this widget searches for a specific class name in the html and replaces that with the current users url.