Not to my knowledge, but there's progress. In
1997, a Schwarzschild black hole in 7+1 flat dimensions could be described as a metastable array of D0-branes wrapped around the compact dimensions, for which "Hawking emission proceeds a few 0-branes at a time" (final sentence of the paper). It is
difficult to adapt that method to lower dimensions (second last paragraph), but AdS/CFT came to the rescue. The price is that one works in AdS space, but it can be made to approximate flat space.
Here is a recent study in 4+1 AdS dimensions - see section 3.2. In section 4.1 they discuss generalizing to 3+1 AdS dimensions; and independently, this month a paper
appeared constructing non-extremal black holes in 3+1 AdS dimensions, where the compact dimensions are the manifold M111, which gives
the standard model gauge group.