Yes, although it depends on the rules set by the specific clinic.   It is common for many family practitioners to accept members of existing patients’ families into practice, even when the doctor is not publicly accepting new patients.   However, some family physicians only accept new patients on a first-come-first-serve basis, while others will only accept new patients that are registered on a pre-existing waitlist. Therefore it’s important to consult with the clinic beforehand to see what their policy is for accepting a family as potential new patients.