I am a graduating student so I don't have any credit score yet. But is it possible to buy a new car with loan?

And I have my own car which has been paid off in full, which I bought 4 years ago with loan but anyhow it's paid off.
Yeah actually someone co-signed with me for my current car. But this time I am wondering if there can be any difference because I already own a car under my name.

You paid of a car?
Trust me, you have a credit score.
you'll have no problem getting a loan.