If you both have great credit and steady income, putting both of your names on the loan won’t be an issue. However, if one of you has great credit and the other doesn’t, it could mean that you’ll only get accepted at a much higher interest rate.
If you both have poor credit, you’re going to get a higher interest rate than more qualified borrowers. Still, if you make your payments faithfully, you can try to refinance the car later and negotiate better terms.