First off welcome to dreamviews

I'm not entirely sure what you want explained here, but I'll do my best. That certainly was a lucid dream because you realised you were dreaming, even if you didn't really believe it or know it was possible to be concious in a dream. When something in your dream doesn't add up and you realise that, it's called a DILD (Dreaming induced lucid dream). So yes, that is definately possible.