It certainly seems that way. Either Space is infinite, or it is not. And if it is, then there are only a finite number of configurations for all the particles in our hubble universe, meaning that the configuration of particles that is our universe would eventually repeat itself somewhere else in space. So would every other configuration including those which are similar to ours but only slightly different, like you have a brother, or some other shit.
How frequently each version of the universe repeats itself relative to others would depend on probability.
Additionally, quantum physics seems to be just that, probability. And multiple probable outcomes of observations seem to exist simultaneously until decoherence. So it would also seem that all of these universes are not only linked by the space shared between them, but also have some kind of quantum link as well, maybe by exchanging information in another dimension.