Certainly not, but considering there should be 100M available by the end of the year, it seems like they are scaling up the production line considerably
That just about covers NHS employees.
A million doses is barely a whisper of a drop in the ocean.
Beyond what others have said about a million doses being a drop in the bucket, the more significant bottleneck will likely be the lack of syringes and glassware to administer the vaccine, rather than a lack of dosages.