Yes. That's why the US is there in the 1st place. Taiwan independence is guaranteed by the US.The real question here, "would the US be willing to go to war with China over Taiwan"?
It's not like it would be a peace of cake; the US military will take serious hits and so will the US economy. Even if they eventually are successful in defending Taiwan and are able to destroy the Chinese Military and Economy, it would be at what cost to the US Military and the US Economy?
The damage to the economy & military will be more on the Chinese sides than the US.