Yes and no, it is technically possible, but they would be so inbred that the chance of survival is low and the chance of brain damage and deformities is really high. I do not know the minimum number to start up a healthy population, but is definitely more than 4.

EDIT: Article that says 50/500 where 50 is to avoid inbreed and 500 is to avoid genetic problems, meaning more than 4 is clearly needed. https://www.britannica.com/science/minimum-viable-population