No. The Genetic Information Nondiscrimination Act (GINA) prohibits employers from discriminating on the basis of an employee's genetic information. It also prohibits employers from acquiring this information. Even if the employer learns this type of information inadvertently (for example, by overhearing a conversation between you and a coworker), the employer may not make decisions based on it. For more information about GINA, see Nolo's article Genetic Information and Workplace Discrimination.