Can distortion be corrected as it can with a 4x5 view camera?

The short answer is yes - to some degree. You need to understand that a DSLR is nothing like a 4x5 view camera. The view camera has more movements available, as well as, a much wider range of movements. A DSLR with a PC (Perspective Control) lens attached affords a shorter range of movements and will not be able to perform functions such as film plane shift or tilt. Because the view camera's lens plane and film plane are independent, each can be controlled as such. On a DSLR, you can only shift and tilt the lens. You cannot tilt the image plane (camera sensor plane).