Restrict player to one direction

In other words (if that didn't make any sense...) kinda like the original Super Mario Bros.  You can move (or, in this case, click) to the rigth, but not backwards.  This would be for  sort of intractive cutscene, where the character will just walk to the left, but I figured this would be more impactful if the player did it (even though they have no choice and have to click to make the player move left)

I apologize if that didn't make any sense...

Is this possible?

Thanks!

Another solution that might be worth considering is having the whole screen be one big button set to “Send Character to position”. That is with every click no matter where it is, you send the character a few steps to the left, along the path that you want the character to walk. In my mind it would look better (as the player wouldn't have to fight the weirdness of not being able to walk in the other direction), but it might not fit the type of experience you are after either.

I probably am going to go with your second method.

Thanks!