Yes, it's quite common. I had sleep problems for many weeks after getting sober. I think it varies by person though, I've heard others say that their sleep patterns improved sooner. I am a bit of a night owl as it is though, so I really have to force myself to go to bed earlier than I'd like to each night.
Hang in there, I'm sure it will get much better soon.
“The Breeze at dawn has secrets to tell you. Don’t go back to sleep.” - Rumi