Yes, this would create a problem for God under certain assumptions about the nature of God. I.e. that God always acts on sufficient reason, and never chooses arbitrarily (=by a sheer act of will), not even in an equilibium, in a Buridan's-Ass-like situation.
Such a view was held e.g. by Spinoza. Here concerning free will:
It may be objected, if man does not act from free will, what will happen if the incentives to action are equally balanced, as in the case of Buridan's ass? Will he perish of hunger and thirst?..
...I am quite ready to admit, that a man placed in the equilibrium described (namely, as perceiving nothing but hunger and thirst, a certain food and a certain drink, each equally distant from him) would die of hunger and thirst. (Ethics 2/49)
And by Leibniz. Here concerning God:
Now, as in the Ideas of God there is an infinite number of possible universes, and as only one of them can be actual, there must be a sufficient reason for the choice of God, which leads Him to decide upon one rather than another. (Monadology 53)
That is, that the actual universe must be strictly better than any other possible universe. There cannot be two equally good possible universes, because if there were, God would not be able to choose between them.