(This is another Quora answer, to the question quoted in the title.)
Of course not! Even with traditional-style board games that are directly competitive, most people remember most of the time that IT'S A GAME, not real-world. A particularly cut-throat game like Diplomacy or Age of Renaissance may engender more anger than others, but there are lots of quite peaceful board games as well.
Traditional games are intended to frustrate, to pose obstacles, to create tension, but a well-designed game poses that tension in game terms, and most players are aware of the potential for frustration when they play the game. (Much of this tension is lost in single-player video games because you can save your game, and try over and over again until you like the result. In a board game, you can LOSE, and (in most cases) you can't call "REDO".)
Moreover, there are co-operative board games, and solo board games, where there is little or no conflict among players, who are playing against the game system, just as players usually do in video games.
There are certainly board games that are designed to de-emphasize conflict, to reduce emotion, usually because they are fundamentally puzzles rather than traditional-style games. Often they are so abstract that despite decoration/atmosphere, they have nothing to do with the real world (which tends to reduce unwanted tension). These games allow people to progress in their efforts to solve the puzzle, even if they don't do as well as someone else. They're parallel competitions where players can do little or nothing to hinder one another, like many Olympic sports, rather than direct competitions (such as in major-league sports). Most Euro-style games are of this type. I personally dislike this kind of puzzle-game, but they're very popular with many older folks, especially those who don't play video games.
If a person cannot accept that "it's a game", if a person cannot stand away from their own self-centeredness/ego, then they shouldn't play the kinds of games that provide direct human opposition. There are lots of ways to play against the system (computer or other programmed opponent as in co-op games) if the psychological side of game playing does not appeal.
My game Doomstar now available on Steam ($7.49 until Sept 23, list $9.99) http://store.steampowered.com/app/504750/?snr=1_620_4_1401_45
It's the boardgame in video form, not something designed as a video game from scratch. Works just like the (two player, turn-based) tactical boardgame. You can play against the computer (AI is weak), but it's mainly intended for playing against someone else online (which could include two computers in the same house, I think). It is vaguley Stratego-like, but much quicker (15-30 minutes for most games) and much more fluid.