Yes, you can. That being said, you can't play regulated online poker for real money in Texas. You'll either play at [1] sweepstakes poker sites or [2] offshore online poker rooms.
Some states allow online poker, while others do not. Professional poker players in the US may still play online, but they must adhere to the laws and regulations of their specific state. It's important for players to stay informed about the legal status of online poker in their state.