I would say yes, in that a religion is a specific tradition with core beliefs and symbols. Therefore one would be more likely to use these symbol sets and beliefs in producing a ritual.
Also some religions believe that all the evil we do in one life will carry on to the next, someone who believes this is less likly to use magick with ill-intent.
It depends on the person. Magick is highly individual, if your religious beliefs mold who you are, then it is going to effect many areas of your life, not just magick.