I noticed when I was at Disney back in June that many of the Photopass Photographers had the same camera as I did (Nikon D50, a few also had the D70s). However there was more than 1 that really didn't seem to know exactly what they were doing. For one character picture I had them take a few pics with my camera. I accidently left the lens cap on. The photographer looked through the view finder and could see anything cuz he gave this weird look, which is when I noticed the lens cap. So I apologized for accidently leaving it on. He turned the camera around a few times like he didn't know what to do. I said, Its the same camera you have, then I had to walk over to take the lens cap off.
There were a few other small issues I noticed that they could have done better, especially in regards to lighting and placement of themselves and the characters. Many of them could use some time here on the photography board.
When I got home and viewed their pictures online they were no better than mine. Some I though would have been better because they use a better flash than the pop-up I was using, but nope, turned out just the same. I think that has a lot more to do with the person using the equipment because when I use the better flash my pictures are much better than the pop-up.
So to the OP's original question. Yes it is very possible that your camera could take better pictures than the PP photographer.