On some platforms, mostly in Past Mandark's House, you can jump on edges that don't exist giving you an extra jump. On one of the rotating platforms their I almost recovered from falling off by jumping on the underside of it but I fell. If you do this in the Sweet Revenge you will get a Live Check Fail and the game will close and the FusionFall Launcher will open.

Found a few tricks too. At the Sweet Revenge you can skip the platforms you need to jump on to get to the ship by jumping on a root to the left of the ship when you enter the Sweet Revenge infected zone and when you jump with Wilt with the jump boost power and when you are at the highest you can be when you jump with Wilt then switch to Numbuh Two with the Run power and you will land on a platform that lets you get onto the ship. At the Goat's Junkyard in the Past you can skip going around to Megas by using Wilt to jump over the wall. You need to find the spot where there is normal dirt ground with no infected spots and try and jump up to the top.

Found another trick in the Power Plant. If you have Wilt with the Jump power with Numbuh Two's Run power you can get on top of the fence where the Bad Nukes Guide Quest wants you to go to.