No. Trademark rights in the US are established as soon as you start using the mark in commerce to identify your goods or services. The rights you have simply by virtue of using the mark are called “common law” trademark rights because they are not based on registration but on use in commerce. Common law rights are usually limited to the geographic area where you operate. Common law rights also protect your trademark from trademark infringement by similar marks used for similar goods/services that started in use after your use of the mark.