Nope. Sensor size matters a lot - a small sensor will have to have a very good lens to get that DoF. Read up on DoF.
If you get a video camera with a larger sensor, it will be easier. Most that I know don't really have large sensors, but I haven't looked at expensive video cameras.
Look at P&S - on those you can't get shallow DoF easily. Sensors of many video cameras are similar in size to those sensors, though they may have better lenses. If you zoom very close on P&S, you can get some shallow DoF, but the subject has to be small or you're only seeing a small part of it.. again.. read upon DoF.
The factors again are aperture and camera-subject to subject-background distance ratio. With smaller sensors, you have to increase your camera-subject distance to get the same framing which increases DoF.
Last edited by Eruditass; 10-30-2009 at 03:32 PM.