I've read about numerous cases of polypropylene mesh reactions resulting in cancer. can years of chronic inflammation and foreign body reaction to polypropylene mesh in the body lead to cancer?

Not typically: This would be a highly unlikely cause of cancer although any chronic wound or scar can result in cancer.

I don't believe it: Go to the refereed medical literature and you'll find a single article from 2000 in an obscure german-language journal about the foreign-body reaction and idly conjecturing cancer promotion; i just ran a search of the nih data-base and there are no actual cases. This sort of thing in connective tissue is well-known to us pathologists and doesn't turn malignant. Stop reading internet junk.