¿Puedo cambiar los juegos mientras se transmite o se graba?

Yes, you can switch games while streaming or recording without stopping your stream or recording. Go to the settings tab and check the “Allow game switching" box:

When you exit a game, the stream or recording will continue (the BRB screen will be active if you have it enabled) until you stop it in the XSplit Gamecaster window or in the XSplit Gamecaster overlay inside another game.