Don't see how that would work. Healthcare.gov just sends you to your state exchange if one exists. The necessary links to the private policy wouldn't exist anyway.
Who needs a link from healthcare.gov? Just go to the insurer or insurers’ website(s), pick your plan and get an estimate of the subsidy (at least BCBS worked this way), then they send (sent) one to the healthcare.gov site to formally apply for the subsidy.
If one wants the policy but not the subsidy, it is (or at least was) perfectly fine to not apply for the subsidy — except that the premium would devastate most people.