It is possible to dream that you are lucid dreaming. I had a lot of those dreams and they can be very real experiences. They are still great fun.
When you have a real lucid dream, you simply know that YOU are the person in the dream. You have a sense of " I ", it's a great feeling.
Only you know if you have a truly lucid dream, so decide for yourself. And never be discouraged by anything! It took me almost 3 months to have my first really lucid experience.

P.S.: Finally I'm back on DreamViews, thank God. After almost a full year break, I can once again feel myself as part of this great community, even if I'm not the thread-starter, poster type of person. I gathered a lot of insight and information on the topic during my long break from the site, and I'm happy to share it with you all!