When people die of H1N1, can vaccine companies be sued due to shortage?

Or is the link sufficiently weak that this would not make a strong case?

In particular, many of the families of those who died may have had no intention of getting vaccinated.

And even if they did, the probability of dying from H1N1 is very low anyway.

Finally, many of those families are probably also at fault for not seeking treatment quickly enough after flu symptoms appeared.