High-energy photons — gamma rays — are a form of radioactivity. There's a degree of flexibility in the definitions of what photons are considered to be gamma rays, depending on the subject under consideration. But not all photons qualify.
Now, if you're talking about a true black body, yes, there is nominally some gamma emission at any temperature above absolute zero. But true black-body objects don't exist, though I suppose a black hole might come close.
Good ol' copper arsenate!