Yes, but it depends on your overall financial picture, not just your FICO, and FHA is probably not going to work for you.
It also matters whether you intend to live in the house or not.
Contact a mortgage broker and/or visit your bank to find out what they can do for you. Ask for a pre approval letter. Once you have this, feel free to contact me for help identifying a property. I follow the multi family market in several areas of Brooklyn with easy commutes to Manhattan, including Park Slope, Bed Sty, Bushwick, Gowanus, Williamsburg, Cobble Hill, etc.
Licensed Real Estate Salesperson