I mean sure - they could do this if they want to break laws and open themselves up to a class action lawsuit or 2........
Legislative Summary of Bill S-201: An Act to prohibit and prevent genetic discrimination
"Bill S-201, An Act to prohibit and prevent genetic discrimination" (short title: Genetic Non-Discrimination Act), is a Senate public bill introduced by Senator James S. Cowan on 8 December 2015 which passed March 8, 2017.
"The bill makes it a criminal offence for any person to require an individual to undergo a genetic test, or to disclose the results of such a test, as a condition of providing goods or services; of entering into or continuing a contract or any part of an agreement; or of offering or continuing to offer specific terms and conditions in a contract or agreement with that individual. It provides exceptions for health care practitioners and researchers in using genetic test information. Through amendments to the Canada Labour Code (CLC), the bill also protects employees of federally regulated employers from being required by their employer to undergo genetic tests or to disclose genetic test results. Similarly, amendments to the Canadian Human Rights Act (CHRA) prohibit discrimination in the federal sector based on a person’s genetic characteristics.