Sounds crazy! Yes, it's possible to get those dream-within-a-dream dreams . Ultimately, it's up to you to determine whether it was lucid or not based on how your awareness feels at the moment. You get to know these awareness variations over time.

Speaking of crazy, I had a dream with/about you. It was very confusing too. You were asleep in my dream and I was trying to send you a message through the tablet so that you can know it's a dream and do some dream goals. I wasn't quite sure in what place I was either. Totally missed out the most obvious conclusion.