Yes you can usually qualify for a car loan with a credit score of 710.
My credit score was 700 when I applied for a car loan for a new car last year and I was approved for the car loan having a 700 credit score so it's likely that if you go to the dealership you should qualify easy for a car loan with a credit score of 710.
If one auto dealership can't get you approved you may have to shop around and try another dealership as someone is likely to get you approved for a car loan with your 710 credit score since that's a pretty good credit score.
Although be aware that if you do apply for too many auto loans you risk lowering your credit score because of hard inquiries that get placed on your credit report when a credit check is pulled.
If you can't get approved for the auto loan for a new car then you may need to go with a used car from an auto dealership that approves bad credit.
You can get into a decent car while helping to improve and build your credit score even more.