If the adult just occasionally wets the bed when they're dreaming about something such as a waterfall or dreaming of being near a toilet and urinating then that's normal.
However if you're an adult and have just suddenly started wetting the bed again then no it's not normal and is usually caused by some underlying condition that can likely be fixed by a doctor.
It's normal for kids to wet the bed clear up until there teens but if an adult suddenly starts wetting the bed again then it's not normal and could be due to illness, disease, bladder infections or other medical conditions.