It is not necessary to go with a matching hinge and handle because hinges are almost unnoticeable to people. However, it indeed plays an important role in the door and other accessories of it. Thus, you can choose any hinge for the door that offers the right weight-to-movement ratio without checking for the door handle.
However, if you can find the right set of products that perfectly syncs with the design and style, then you should definitely choose it. It gives the right design elements to the complete door even at the micro level. Thus, it is not a necessity but a matter of choice.