Technically yes but will Telecharge discloses such personal information to the theatre? I don't think a theatre gets such info automatically. Plus some people buy at the box office without disclosing the personal info except name on the CC. Also some buy at TKTS. I bought the Billy Elliot tix using CC and still had to register my seat number and other personal info.
For the producers, running a show at 50% capacity is the deal breaker for sure.