Even if the vaccine is available now, it took more than a year to mass-produce it and distribute to everyone in the world.
"Even if the vaccine were available now, it would take more than a year to mass-produce it..."
"Even if the vaccine is available, it will take" is wrong because the vaccine is not available. That means you need "would" instead of "will", and ideally a past subjunctive verb in the if-clause. "If it were available, it would take time to distribute."
https://en.wikipedia.org/wiki/English_conditional_sentences#...