In all likelihood, yes, as the actual job creating entity will be a new enterprise, not an existing enterprise that you are purchasing. In fact, having an establish brand behind you, like Carl’s. Jr., could even help.
First please hire an experienced EB-5 attorney who will be able to guide you through the EB-5 process as it relates to franchises. You may invest in a new commercial enterprise which creates employment and also operates under a franchise brand name.