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In my household, there is almost always something to do. And it's hardly common to find any sort of alone time, no matter how much I want it. Recently, I've found myself waking up at 2:00 AM for the sake of enjoying myself before any sort of work has to be done.
It seems perfectly normal to me. I often head to bed not long after ten because this means I'll naturally surface well-rested at around 4:00 am. Getting up then means I have a few hours peace before my wife and daughter wake up. Neither my wife nor I work, and our daughter is home-educated, so we're in each other's company almost constantly. I love them both dearly, but I do need some me-time.
As it happens, I read earlier today that the author of the Outlander series of novels wrote the first one in secret. Her husband had no idea that for eighteen months, she was getting up at midnight and writing for four hours before she started work relating to her other two "real" jobs. She must have had a phenomenal amount of natural energy to do that.
I think that the only thing you need to be aware of is the effects of chronic sleep deprivation. Some people can manage fine on very little sleep every night, but the effects of not getting enough can creep up on you.
Normal - in fact its one of the things successful people do (they tend to either get up early or stay up late to work on things related to future dreams and goals).