Until one year ago, no. But now, definately yes. People have been working really hard on this point. Normally, a distribution will set it up nicely for you. Let's hope so.
Some manufacturers provide no help, drivers or even documentation.
But usually, Linux hackers find a way around the problems. The only stuff that works badly are some Windows modems and Windows printers, and for the rest you're usually okay. Probably you shouldn't be asking if your word processor X is supported, but whether your word processor files, coming out of X, are supported. We can look at network packets. We can guess what they mean.