This is the sort of thing that can only be asked within the context of a particular mathematical theory or framework and not about reality. So you could ask what a given way of describing the universe would suggest, but by definition this is a question about things you can't obtain evidence about from anything you observe within the universe.

One mathematical formulation which makes this a non-question would be if you take a group theoretical view of things like space and say that space, as a Lie group, is defined by the operators which let you move through it. So only those points which you can reach by a combination of operators exist, and there's nothing 'outside' of them since there are no operators which connect them. But that's a convenient way of formulating a local theory of physics (because you don't need to know what's 'over there', you only need to know what you see where you are after executing a given motion pattern), it doesn't necessarily mean that reality is structured as stuff embedded in a manifold defined by a Lie group...