It is possible in some states such as Oklahoma. The answer to your question depends on state law.
Curious. How do you record that in bank record? Are they both individually 100% owner? I'm guessing they can't be 50% owner because then wouldn't that be partnership?
I only ask because we have a CTR situation that arose where our DBA grocery market is "owned" by husband/wife per our records, they are both on the FBNS registrant statement. They are both recorded in our system equally as "business owner", so when they make their deposits and go over $10k we've doing a 2(a) and a 2(b) on the husband and wife. This is the first bank I've seen this at with ownerS of a DBA sole prop.