In order to do this skip you need a improved jump man suit, which you can pick up from the bank. Currently there is no way to skip the first 2 talking sequences, however after those you can jump onto the tree branch and then on top of the area with the blue chest, from there you need to double-jump, rage leap, jump, flutter (spam dagger to reduce fall rate) from there you should be able to cross into the final section, once there perform the above again to cross the final pillar.