Depends what you mean by hoarding.
The vaccine is certainly not being distributed to all at the same rate.
Thirty-five countries, mostly in Africa and Asia, and including highly populated nations like the Democratic Republic of the Congo (0.04%), Vietnam (1.63%), and Ethiopia (1.65%), have so far vaccinated less than 2% of their citizens. Seventy-five countries have reached less than 10% of their populations.
Taking a wikipedia map as of its last upload on June 26, 2021:

In the early months of vaccine availability there was a fair bit of "vaccine nationalism" by the US and the EU to get first access. And that included the EU asserting rights over access basically because the manufacturing facility was on EU soil.
Citing Economist, March 13, 2021:
Since January 29th, companies wanting to export vaccines from the EU have had to seek permission from both the country where production takes place and the European Commission. Trade is still flowing; by March 9th the EU had exported 34m vaccine doses to 31 countries. But the process now involves extra paperwork, missed flights and general uncertainty. In one case the checks delayed jabs meant for a trial in Latin America. They also disrupted a shipment that was going abroad and had been intended to validate the quality of a bigger batch meant for the EU. (Both were eventually approved.)
An AZ vaccine shipment to Australia got blocked by Italy in March.
And the US banned exports on some vaccine manufacturing inputs to India (at least until April).
This is lessening as supply issues due to high demand for vaccines is gradually being replaced by government concern at overcoming vaccine hesitancy in a number of countries, such as France or the US.
As a Canadian, I am happy to a beneficiary of both a strong purchasing program and strong public uptake. BC, where I live has 78% of first-shotted adults and the 2nd shots are also trending up nicely. Covid rates, "coincidentally", are crashing down.
But I can't help but think that our drive to vaccinate even 12 year olds sounds like luxury to many less fortunate countries.
Given that covid has shown itself to be quite adept at mutating to more problematic strains, we should be cautious at patting ourselves on the back and congratulating ourselves that all is well: pockets of high infection rates in poorer countries can easily come back to bite us, as they already have.