If you had stopped and considered the possibility that you were jumping from place to place without rhyme or reason then yes, it is entirely possible that you could have had a lucid dream. A false awakening is a dream about waking up, and generally occurs in the morning shortly before you actually do wake up, so I don't believe you had that. What you want to do to take advantage of these sorts of situations is practice reality checks. If there is something strange happening like that, try pushing your hand through something solid, or try flying around. You'll generally be able to do something like this, and the realization will help you become lucid.