Politically, I can't see any significant shipments of vaccine doses produced here being sent offshore for several months (small amounts in the low thousands for emergencies, maybe, but not shipments of hundreds of thousands). Until/unless they are certain that we have significant excess doses that won't get used here the further delay to our rollout wouldn't be viewed well by the public in general.
There's also the question as to how many of the population in a place like Fiji would be willing to take the AZ vaccine. If herd immunity is not reached then the benefits of sending vaccines there aren't nearly as good as if it helps them to reach herd immunity.
In the long run if we are to reopen borders with our neighbours in our region and keep them open and if annual booster shots will be needed we should aim to produce enough vaccines to vaccinate our population and some of our neighbours in the region as well.