It is possible to make the jump on your own by air jumping. Although it is very challenging to make the jump, the point where you air jump has very little to do whether you will reach the ledge or not, but if you have enough speed to reach it. Therefore, it is recommended to wait for a Shaman to build a bridge.
There are two shamans on this level each with their own color hole. You will only receive credit for mice entering your hole. The shamans may engage in a shaman battle or call a truce and race to be the first to build. The shamans should build a bridge for the mice to jump on. To get the cheese yourself, try to launch a cannon ball down onto your bridge (That is, if your bridge uses a red anchor connected to a yellow anchor) so when the plank gets flung back up, it will catapult you upwards.