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Certainly, in fact, this is a very common nuclear process called "pair production", which is the production of an elementary particle and its anti-particle, of the same mass but opposite electrostatic charge, from a high energy photon, usually in the gamma ray range. In this case, the two particles are an electron and an anti-electron (more commonly known as a positron, whose rest mass is the same as that of an electron but whose charge is +e ).
Because the Law of Conservation of Momentum must be satisfied during the pair-production process, pair production cannot take place in empty space. The momentum of the initial photon must be absorbed by something. In this regard, the photon momentum can be absorbed by an atomic nucleus, which is thousands of times more massive than an electron or positron and can therefore absorb momentum without absorbing much energy. Consequently, pair production is observed when high-energy gamma rays enter a solid, where a high density of atomic nuclei is present.
You may refer to the following web-page for more details:
http://physics.pdx.edu/~egertonr/ph311-12/pair-p&a.htm