Will a dealership allow me to finance a car?

I don't have a car to trade in. I'm 21 years old. I have a full time job at a bank. My monthly income is about 1500 dollars a month. I live with my parents (so that I can attend school and work) so I don't have any other bills to pay. I have 2 things on my credit. Both are for credit cards from about 2 years ago (when I was stupid and irresponsible). I currently owe about $500 on each of them. I am about $1000 in debt total. Those are the only things I have on my credit. I don't have a co-signer. Would a dealership allow me to finance a car? At this point I don't care about the interest rate, or how high the monthly payments are. I have no other bills so this would be my only bill. Any advice would be very very very much appreciated.