No. The mites are not what is killing the bees.

And, by the way - natural pathogens exist in just about any population. These very, very rarely led to extinction. There is a media trend to claim the mites are at fault. This reminds me of prior fault yielding e. g. "mad cow disease" - and then the media also stopped doing any further investigation at that point. It's as if they have break points where you can not go past those points. Now it is the mites that get blamed.