Yes, if you buy it new. Mine is Firewire to USB. Firewire goes into the 722, USB into the computer. I guess this is new to you as you have not xferred anything yet. You gonna love that 722. I sure do love mine. Just run through the basic "factory settings" to modify them to what you want, save them as "user settings" and you can reload them in a flash, should you need to. Once you are set up it is turn on, set levels, push the record button, get a cup of coffee. Turn off, put away your gear, go home, xfer. And you know the 722 is going to record it right.
Happy Trails.
ADDED: be sure to use whatever to detach form your computer electronically. IN XP it is "remove hardware" or something. I cannot remember but it is an icon. In Mac I do not know nor in **nix.