Yes, they can! If you and your partner like playing video games together, you guys can build a stronger relationship based off of a shared interest. You can play with each other (stop) for hours on end. You can talk or be competitive.
However, on the flip side of that, it can hurt your relationship. If you or your partner spends an excessive amount of time playing video games and ignores you, it can damage your connection. Being addicted would weaken the signal between you two.