First, you should definitely be familiar with What exactly determines depth of field?.
Also a look at Can more than one focus points be selected?, which is really this question in reverse. And, perhaps most of all: Why would I want to select an autofocus point?
Given that, as others have noted, what you want to do is impossible with a normal lens. It might be accomplished with a tilt-shift lens, but those tend to be very expensive. You can also do something in post-processing, but that's surprisingly difficult to get looking good. (You really need a 3D map of the scene to do it right.)
There is, however, a reasonably-priced alternative if you're really into this kind of thing — the Lensbaby Spark. This is a $90 lens for Canon and Nikon (unfortunately, unlike earlier similar models, not available for other mounts) which can bend, making it possible to get the kind of result you are looking for. For example, this image from Lensbaby's sample gallery:

This, of course, does not help you with your non-interchangeable lens camera, but if this is something you really want to do, it's perhaps an avenue to explore. You don't need a very fancy camera body to get stunning results.
If you're really enjoying the Lensbaby thing, or really want to focus on it, or are set on a camera from someone other than Canon or Nikon, you can go for the $400 Lensbaby Composer Pro II with the Edge 50 optic. This gives more fine control (and is available for a wide range of lens mounts, including Fujifilm, Panasonic/Olympus, Pentax, and Sony along with the big two). That's a lot more money, but still not even close to the cost of a full tilt-shift lens.