Surprisingly YES! There is a way to avoid MOST if not some unblockable blockbusters on which it may be patched in future updates but if they activate a unblockable blockbuster close to you, you can actually use "burst" to avoid it, ive used it against cerebellas grab bag and showstopper unblockables and avoided both, however i dont think it would work for peacocks "good fellows" but its always worth a shot, basically, be close when they do it and use burst at the right time. Good luck