I mean, that's one possibility, but does evidence actually indicate that's true? I play Grand Theft Auto like an utter psychopath and I don't go around running people over in my free time.

I'll acknowledge it's not an apples to apples comparison, because it's much harder to view the characters in GTA like real people, they are still pretty obviously cartoon characters, but these are the arguments people made when violent video games started getting popular in the 90's, despite the fact that the violent crime rate has gone down pretty consistently since the 90's.

So I don't know, it's possible I guess?