Lol, good pic. The answer is both a yes and no. Tabletop RPGs are different then board games, partly because there is no board, but also because there is rarely a player winning the game. Instead of beating the other players, the goal of the game is to simply craft an epic tale.

Though grudges are certainly possible. I have a friend who killed another friends donkey when they rolled a 1 (critical fail) and fell out of a tree hoping to get the jump on an approaching band of orcs. Good times were not had that night. There have also been occasions where players turn completely against eachother, but that is pretty rare.

If your interested in learning more about these types of games, then check out some videos or read about DnD and Pathfinder. I should be releasing the character sheets today, and rules tomorrow if I can finish prettying them up. This will be much simpler then other games in the genre so you should be able to quickly pick it up if it interests you. And since there is no board, you can play where ever you wish.