Is it an impossible task to want aspire to become a doctor, and a politician?

I am pursuing a long time dream of having a Prestigious position in the medical field. but I am insanely moved by how some politician work and the job they do while elected.. anyway, is it realistically possible to be a doctor and a president/politician ? btw, I am very happy with our president in the US. however I am disappointed on the job that many politicians are doing in the island of puertorico