The Big Bang did not happen at a particular point in space, but what you are asking is equivalent to the question of whether the total gravitational potential energy of any large region of the universe, say 100 million light years across, is greater than the kinetic energy of the motions of the galaxies within this region. That being the case, you would have a closed universe destined to recollapse. There is currently no evidence that there is enough matter ( + dark matter!) to do this. We consistently find LESS than the 'critical density' of matter needed to cause recollapse. Finding this to be the case today, is equivalent to determining this for all times in the history of the universe, even moments after the Big Bang.