No, not that Viserys Targaryen — you know, the one Khal Drogo killed in Season 1 of Game of Thrones. This is an entirely different Viserys Targaryen (remember that the show takes place 200 years before Game of Thrones). Unlike the one we know and hate, this Viserys Targaryen actually got to be king.
According to HBO, "Viserys was chosen by the lords of Westeros to succeed the Old King, Jaehaerys Targaryen, at the Great Council at Harrenhal. A warm, kind, and decent man, Viserys only wishes to carry forward his grandfather’s legacy, but as we’ve learned from Game of Thrones, good men do not necessarily make for great kings."