not if you manage to have at least one worker active.
but i tried a few times, lol. and it puts the last created worker at bored, exactly 1 second before you can buy a fresh one, while 2 are already on bored mode. even if i use two mines. its exact. i need 2 seconds more :)
so, if that timer is adjusted by a second or 2 or 5, then it could be a game achievement and people can have a second go.
why would you prohibit that? :) ( since it is so precise i assume it is on purpose)