In Classic mode, you take turns and draw one by one, so once the round has started, the current player can be skipped. No worries, though, as you’ll still get another chance to draw before the round ends. To skip the current player, anyone can open the ☰ (Settings) menu and tap “Skip Player”.  This is also useful if the player gets disconnected from the game or steps out of the party!

In Draw and Tell mode, you draw simultaneously, so skipping a player isn’t possible.