No. Parabens are permitted for use by government agencies around the world, including the United States, the European Union, Japan, Australia, and Canada. Safe ranges for the use of paraben preservatives have been established in all these countries.
FDA has stated that there is no reason for consumers to be concerned about the use of cosmetics containing parabens. The FDA has also classified methyl and propylparaben as “Generally Regarded As Safe” by medical and toxicological experts for use in preserving food.