Yes, there is no actual evidence that guns cause violence, and further no actual evidence that violent video games cause violence. While violent games can lead to potentially increased anti-social behaviour, as well as other adverse effects. No study, or no case of multiple studies (resulting in a general consensus) has found that video games cause violence. So to support guns but blame video games for violence is hypocritical.
People need guns for safety. Violent video games are making people subconsciously more violent. I am not saying violent games should be banned, I am just saying they should be perceived as bad.