Good question. No, because there is a fiqh (jurisprudence) rule that roughly states “necessities permit the prohibited”, which can be used to override the impurity of pigs.
In addition, some scholars (a minority) argue that perhaps one reason behind pork consumption being forbidden is due to its utility in human transplantation (thereby making it “sacred”).
In the 1920s, Voronoff advocated the transplantation of slices of chimpanzee testis into aged men whose “zest for life” was deteriorating, believing that the hormones produced by the testis would rejuvenate his patients.
Oh, this argument was definitely put forth after the fact. But the idea is that the utility of pigs must have been known to God, so perhaps this is a reason behind forbidding its consumption.
In addition, some scholars (a minority) argue that perhaps one reason behind pork consumption being forbidden is due to its utility in human transplantation (thereby making it “sacred”).