Update 1.4.6 - Owl Headdress way
Character: Ming
Item: Owl Headdress
Use Character Ming. Not only can Ming interrupt hatching, but Ming can also view the next upcoming hatch.
This works great with Owl Headdress, as simply jumping will shuffle the next egg outcome.
Defeat all but one monster in a room, jump until your next hatch is a dud and then kill said monster. Bingo bongo, you've just finished a failed hatch. Repeat 5 times for the achievement
(Important Note! Cancelling hatching will reset your achievement counter, so you might wanna avoid that unless you have the wrong hatch coming up)