Hi Richard: If by fireplace you mean open air flame, the answer is most decidedly no. There are oil burning floor furnaces designed so that you can see the burning flame through a thick glass viewer a few inches in diameter, but none I've ever heard of that burn openly.
The reason is because #2 diesel is virtually inflamable at room temperature and pressure. Witness those hugh fuel tanks on 18 wheelers, sticking out the side of the tractors, just asking to get broadsided and ruptured by an oncoming car. When these kinds of accidents occur, there is almost never a diesel fire. Why? Diesel has a very low vapor pressure, and it is the evaporating vapor that burns (this is what makes gasoline, laquer thinner and ether so flamable). So the diesel has to be pumped or "blown" and atomized into tiny droplets into combustion chambers at high pressure to burn efficiently. You simply can't safely do this in a fireplace.