Yes, but not to surf the Web or play Call of Duty. The bandwidth in long distance space communications is not good, and the latency is terrible. You’ll click the mouse, and depending on the time of year, it will take between 4.3 and 21 minutes for the message to pass to the server on Earth, and another 4.3 to 21 minutes for it to come back again. Internet communication to Earth will mostly be low-bandwidth asynchronous activities like E-mail.
Ernest W. Adams, fascinated by space travel since the Apollo program.