Sure. First 3-4 levels should be very introductory, just to understand the mechanic. Maybe 1st level only the blue player from the left, then the same level as level two from right and level 3 combine those two to give player understand what he has to do. Fewer jumps (like two at most each). I believe these are a good start. I would also 'sell' the game as two player game because it could be fun for two people trying to solve the puzzle together. This needs to have the 'Switch button' (arrow down) be the S button too. I hope those helped.
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How would this be a two player game? Would you then have 4 playable characters or should the players take turns when switching world?
Also when implementing a tutorial like this be sure to make it optional because when I played the game I didn't get a feeling the mechanics were very difficult to master. A long tutorial like this could also become tedious for the player.
Think of it like the old game with the ice and the fire. You have to work together to get across. Maybe have limited times you can change environment. You have only two characters like it is now. It's very easy to understand and introduces the player/s perfectly. It's not about the mechanics being difficult to master but balancing the game to increase difficulty and giving every player the time to get acquainted. You can watch a video from Game Maker Toolkit named who should be awesome if you want to see more.