Absolutely. How Bitcoin works allows you to keep your gambling private. Your financial details aren’t shared with the online casino since money is sent between wallet addresses. While they can see the wallet address money was sent from, they’ve no way of obtaining personal information.
When it comes to playing Bitcoin blackjack games, the exception to anonymous play is when you indulge in live blackjack. Some Bitcoin casinos and software gaming developers require you to identify yourself by sharing your name, address, and other information during live games. However, nothing’s stopping you from entering fake personal information.