In science fiction, anything is possible, even the impossible. You first have to ask how the planet got there. You would have to have a white hole with enough mass to be the anchor for the planet's orbit...say a solar mass or so would do. Then, you have to figure out how to feed the black hole that this white hole is attached to so that the white hole becomes a source of out-going energy. You can possibly find 'black holes' that are evaporating and which have effective temperatures of 5000 K, but these would be a lot smaller than the Sun and could never serve as the gravitational anchor for a planetary orbit.
A solar-massed white hole with an effective temperature hot enough to appear star-like, would have to be fed matter on the 'other side' which is paired with a black hole. Then, you would have to worry about the outflow of matter from the white hole which would appear as one heck of a strong wind in which the planet would have to orbit, no doubt on a trajectory with a declining radius. Over all, I would say that this is a tough situation to imagine. Science fiction authors, however, are very inventive!