Yes, I've done that many, many times. Each time it has been a very helpful and positive experience. I am better with writing than I am with speaking, and even after nearly two years with my T, when something hard comes up, I still resort to writing - I'll write it out, edit it a few times (though T prefers I don't edit!) and then hand it over for T to read. I always feel better after I've shared whatever it is with T that I couldn't speak.

Good luck!