Yes, if you each own your own copy of the game. The beauty of splitscreen is in its instant multiplayer capability, which is very useful in say, a university dorm.
But whatever, it's clear you're not going to back down no matter how many arguments we toss at you, despite not even willing to given them a try. I'm not saying that PC gaming is no good, hell, I prefer it myself. But consoles are awesome as well. But fine, if you want to ignore this huge facet of gaming, be my guest. You're only robbing yourself of the experience. Just don't come in here just to tell us we're wrong for liking it.