No. The CDRH division of the FDA has no mandate to regulate end users or the practice of medicine in any way. They regulate device manufacturers. In fact, the most rigorous pathway through the Center for Devices and Radiological Health (CDRH -- the specific FDA division that regulates devices) is called "Premarket approval" because it's actually the marketing and shipping of the devices that is regulated.
More specifically, from fda.gov/media/151975/….,
"Does the FDA regulate medical services, availability of medical products, pricing and health insurance? No. The FDA does not
regulate the practice of medicine, medical services, the price or
availability of medical products and whether they are reimbursed by
health insurance or Medicare. "
That said, the FDA should not approve a device that isn't robust, therefore if the ability of the device to safely and efficaciously do it's job, then the ability to upload software to the device might need to be removed prior to approval if the review process so indicates.