My grandparents never had credit cards. Never bought anything on credit except their house. I'm pretty sure they didn't even buy their cars on credit.
But times changed. Eventually they were forced to get a credit card because it became impossible for them to do things like reserve a hotel room without one.
At least now you can use the debit cards that have a credit card number but draw from your checking account.
It is a good idea to have at least one credit card and to use it a little and pay it off every month IF you can be disciplined and not overspend. Building your credit history is important in today's world. Plus it gives you a little flexibility in case of an emergency where you really need some extra money.
If you are really afraid you won't be disciplined with it, get 2 accounts. Have one with a small limit, so you can't over spend. Have another with a bigger limit that you do not carry with you and do not allow yourself to use, but it is there in case of emergency.