Judging from this meta post, I would believe this isn't possible, as the limit is 6 questions per day. Are there different rules for private beta/public beta?
The question limit applies only to part of the network.
I will quote Jeff:
That limit is only enabled on the SOFU trilogy for now, that is, sites that regularly get 100+ questions per day. (Stack Overflow alone gets 3.5k+ per day..)
Our thinking was that on smaller sites, this should be handled by the site moderators on a case by case basis, rather than through an algorithm.
Obviously, unborn site is considered "smaller site". :)