It is possible and it has already been observed. In the following article they suggest both single and double step emission mechanisms:
Two Electron Photoemission in SolidsR. Herrmann, S. Samarin, H. Schwabe, and J. Kirschner Phys. Rev. Lett. 81, 2148 – Published 7 September 1998
The single step emission process is because of correlletions of the two electrons that will be emitted. Or as they say:
imagine the process of photoionization as interaction between one
photon and one electron, it is obvious that the simultaneous emission
of a second electron requires a direct interaction between both
In the double step processes the photon is absorbed by one electron which transfers part of its energy to the second electron. Two examples from the article are:
As an example for a double step process, we consider the excitation of
a photoelectron from a core level and the subsequent filling of the
core vacancy by a valence electron, leading to the emission of a
second valence electron via an Auger mechanism. These processes are
well known, and have been widely studied in various solids . As a
further double step scenario for a two-electron photoemission, we
suggest the combination of a single photoionization in the valence
band and a subsequent collision between the photoelectron and a second
band electron leading to the emission of both electrons.
Note that the first mechanism is already used in surface analysis methods like AES.
As a last note I would like to point out that when working with metals (and solids in general) you should always work within the framework of "Band theory for solids"!