As long as you're aware of the position of the backing plate that the hinge screws grip on to (it's located behind the actual washing machine casing, in line with the door hinge) it is possible to fit yourself. Remember - if you do not hold the plate in place, it will fall into the washing machine when the screws are loosened.
The knack is to place your fingers into the rubber seal around the door, near to where the plate is, feeling around until you locate it. This will hold it in place while you remove each screw, and replace the hinge.
This job is much easier with an extra pair of hands!
Lieutenant Columbo, August 2006