No, you can't. First of all they are exposing like a dozen options, but without any way to tell them "unsubscribe from everything".

This means that they can keep adding categories. For example I don't remember an option for receiving invitations for joining groups. If this option was available I would have disabled it and guess what, it's now enabled on my account.

But far more aggravating is that I'm receiving emails straight to my Inbox from HR people even though I unsubscribed from such email. Do you know how I know that LinkedIn has sold my email address against my preferences? It's because I'm using an unique email address just for LinkedIn.

You know, I can use a menu, I can find a link, have been doing it for quite some time ;-)