Is this feasible with the Kinect SDK?
The Kinect SDK delivers a skeleton array. You can count the players in that array. Besides that there is a SkeletonFrameReady Event that occurs if a skeleton is detected and something changed.
So you can detect people.
You can detect multiple people, but I believe a maximun count of 4 at one time.
I don't know about the wheel chair. I guess it is possible.
As juergen d said, it's absolutely possible to detect people entering / leaving the Kinect Sensor's field of view as long as it's not more than four at the same time. Also, the sensor definitely recognizes people sitting in a wheelchair, although their skeleton data might be useless apart from the upper half of their body (leg joint data will be messed up for the sensor) - but since you only need to see if there's anybody in the room, you should be fine.
Edit: From the 1.5 version on (released in May 2012), the Kinect SDK explicitly supports seated application scenarios by offering a "seated" mode (from Kinect Blog: What's new in 1.5):
Provides the ability to track users’ upper body (10-joint) and overlook the lower body if not visible or relevant to application. In addition, enables the identification of user when sitting on a chair, couch or other inanimate object.
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