Is it common for an awakened being to be traveling to parallel realities during sleep time?
No. These are fantasies, dreams, and spirituality is always concerned only with reality. Of course they feel real at the time, but what dream doesn’t?
Enlightened beings generally don’t dream or dream very rarely.
Don’t beat yourself over it - even if you’re self-realized (which I doubt) it usually takes a number of years for dreams to disappear and some people never take their realization that far. But please at the very least stop paying attention to them. The goal of spirituality is to help you approach and accept reality, not run away from it.