Let's see, nope. My dysphoria is so minimal as to barely exist and in no way would require transitioning to live a happy life. Am I happier with boobs and all the rest though? Absolutely.
On the other hand if we reverse your question and ask "Do people suffering from gender dysphoria need to transition?" I think the answer might well be yes. I hesitate only because I don't suffer with dysphoria but can't see any better avenue for those that do.