Yes. Adding to the other comment, if you don't have good credit you can also lose out on certain job opportunities.

Edit: here is California's restrictions on employer access. Note that other states have fewer restrictions.

https://leginfo.legislature.ca.gov/faces/codes_displayText.xhtml?lawCode=LAB&division=2.&title=&part=3.&chapter=3.6.&article=

Yes. Effectively you will not have any credit history, so you simply won't qualify for lower interest credit products or will be rejected on applications that have a credit score threshold.

You'll be rejected from a lot of things on the basis of having no credit, because in the U.S., it is considered worse if you have always paid everything up front and on time than if you consistently borrow and make continual payments. Now, that doesn't have to be a credit card per say, it can be car lease payments, student loan payments, medical debt payments, my landlord reports my rent payments, but credit cards are one of the easiest ways to build up your credit score before you say, have to spend an extra $1500 upfront for an apartment on a co-signor service because my credit score wasn't considered high enough for an apartment I pay $500 a month for.

The first time I wanted to finance a car I discovered I have what's called a "thin file." My (interest free) student loan wasn't reporting to all 3 agencies. I was able to get my dad to co-sign. I was 26. Discovered then that being told "never ever ever own a credit card" (by my dad!) was very bad advice. Get one with a low limit and use it to pay the same bill every month. Credit! Now other places trust that you pay your bills.

I've since gotten several cards (it's been nearly a decade) and they each serve a different specific purpose. I purposely target high signing bonuses and my purchases are better protected. My limits are stupid high, which I guess is nice but I'll never put that much on so it's a bit pointless. Then again, knowing I have access to that if things ever become dire is nice.