The only way would be by resetting the game (settings –> reset game) but bear in mind that your progress, purchased items and currency will be lost after resetting.
You mainly earn story bits by fulfilling orders from the Orderboard, but you can also earn some from friends, as a thank you gift for helping them out with their machines. [...]
Sure! Click on the order you would like to skip and click on the “bin” icon at the bottom left. The order will be replaced after waiting for a short time.