It's possible but not documented. While permethrin resistant lice are clinically documented, snake and other mites have not been. The problem with your story is that Nix contains the same ingredient so treating mites resistant to a certain pharmacological will do absolutely nothing.
This sounds more like hearsay than anything actually as it is most likely due to misinformation and improper use of the product.
The good news is that if there ever are drug resistant snake mites, there are alternative treatments that will kill an infestation that could be theoretically resistant.
In other words, don't be so quick to take what you read or hear as gospel without doing your due diligence and proper research. Use the recommended product should you have an outbreak, don't abandon it simply because you read a horror story. Also, whoever told you Nix would be effective when Provent a Mite would not has no idea what they are talking about.