Could a person's immune system be built eventually to be able to inject all the known strains with in to stay immune?
closed as primarily opinion-based by anongoodnurse, David, The Last Word, James, Muze Jan 26 '18 at 16:23
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The question is whether being exposed "to all strains of influenza" would make one immune to all strains of influenza. No, and it's not possible to expose oneself to all strains of influenza in the first place.
It might be technically possible to expose yourself to all subtypes of influenza, if you limited to the hemagglutinin subtypes, of which there are 18. But subtypes are not strains; a strain is an antigenic variant of a subtype, and there are tens of thousands of such variants. Even if you somehow managed to expose yourself to every known strain, presumably by injecting yourself every few hours for years (you probably don't want to literally expose yourself to all the strains of flu, because some of them have mortality rates well over 50%, so you'd be dead before you were immune), new strains arise literally every minute of every day.
And because of vagaries of the immune system that are too complex to get into here, immunity to some strains prevents immunity to some others (one review is Immune history and influenza virus susceptibility), so it's either very difficult, or perhaps intrinsically impossible, to get complete immunity.
There's work being done on overcoming these problems with "universal" influenza vaccines, and your best bet is to wait until some of these are available.