Yes, the shutter is mechanical on DSLRs and can wear out. However, good luck getting the actual count out of the camera unless you can get it in your hands. Here is a quick link on the subject:
http://digital-photography-school.co...ter-actuations
Since I was curious, my 50D is currently at 16,000, so it looks like statistically I can probably expect it to live for another 80,000 or so.