Possibly, but your lending options will be limited. How did you get your score? Lenders use the middle score from the three main reporting agencies, Experian, Equifax and Transunion. If you obtained your score yourself online, chances are it's not accurate.
Beside a credit score, you need to have secure income from a reliable employer. Enough income to cover your current debts and a mortgage payment. Enough savings to pay your down payment and have something left over for a rainy day.
Rather than guess or try to figure this out on your own, I would encourage you to meet with a great local lender. They should have FHA available, as this would be your most likely option if your score is accurate, but a full range of other options if things are better than anticipated.