No.
Maybe at one particular program the strongest applicant gets the PD, but that is totally untrue for most programs. Some programs do a total random assignment for interviews, some programs (those who actually read personal statements) may pair you with people who match your style, or share a commonality. This makes the interview more pleasant, avoiding awkward encounters.
In the end, there are just too many interview days with too many applicants in internal medicine for the programs to care that much. Random assignment is easy enough, and, if the program you are applying to as any resemblance of decency, every interviewer is established, competent, and well-respected by other members of the admission team.
Dont worry if you dont get the program director or not. Dont feel good about yourself if you get assigned to the PD.