The only problem with this is not ever establishing a credit history makes it harder to qualify for good loan rates for things like college or a mortgage. Using a credit card and not carrying a balance, on the other hand, helps establish credit history while effectively being the same as using a debit card, since you're never spending money you don't have.
No score at all and a good incomes works just as good as having an excellent score. You don't need to constantly use debt in order to buy a house. The banks have tried to convince us all otherwise, but it's quite simply a myth.