Why ‘Fortnite’ Gamers on Xbox Can’t Join Their Friends on PlayStation

Major console makers like Microsoft and Sony support ‘cross-play’ with PCs and smartphones—but not with each other

For a short while on a Thursday in September, fans of the videogame “Fortnite” got something that had seemed hopelessly out of reach—a chance to play together on competing consoles.

Epic Games Inc., creator of the popular combat game, had accidentally flipped a switch of sorts, letting people using Microsoft Corp.’s Xbox One play alongside those using Sony Corp.’s PlayStation 4.

“This...