Yes, I would say that the local universe is finite but that there is something beyond the boundaries of that local universe which is more expansive. I subscribe to the theory that the entire universe that we know is the byproduct of a collision between a photon and an exciton on a higher plane and that what is many tens of billions of years for us is the time it takes a photon to travel a distance equivalent to its own diameter in the higher plane.
Negative electrical charge and positive electrical charge on the higher plane, when mixed, can be viewed as matter and empty space on this plane, respectively. There are likely other planes subordinate to this plane of which we could not be aware. This awareness only makes human existence that much more humbling.
More interesting to me is the way in which information and even consciousness seem to transcend our corporeal form in one or more unseen dimensions. We can't be entire certain how many dimensions there are, but within these dimensions likely lies what we refer to as the "soul" or the "spirit."