How do I create Donkey Kong following mechanics

I'm trying to make a game with two characters on the screen and I'd like the second character to follow the front character pretty much identical in every way to the game Donkey Kong on the SNES

However I can't work out how to do this. I trying to do this using the physics engine so if anyone has any idea's on how to get the same results as Donkey Kong using only physics and not a platform behavior I'd be very grateful.

Thank you for you help.

This is only theoretically and I haven't tried it myself, but, you could try using the system's Wait function to apply the same actions on the follower object as the leader object to make it mimic the leader but with a slight delay.

e.g. On jump -> leader jumps + wait 0.2 sec + follower jumps

That's a good idea, I appreciate your help. I will give this a try and let you know how it goes. Thank you.