For any given user this is easy. If you go to advanced > rules on the Peter Kindfield card, you can set it so that *update is restricted to Peter Kindfield. That means only you (or an administrator, who can update anything) can update this card.
In most cases, this is all you need to do for a single user. By default, any "field" cards (eg +address, +about me...) will be set to "inherit" their *update permissions. This means that the *update permission for Peter Kindfield+address will be based on the *update permission for Peter Kindfield. Which we just set to Peter Kindfield.
Malkovich Malkovich Malkovich....
The bad news: there's not currently a patterned way to do for all users. That's in the roadmap, but it's not there yet.
- ethan