Is it possible to create gravitons the way photons are created, with electrons falling from quantized systems, or create graviton analogies to photon-lasers?
No. Gravitons (yet to be discovered) are the transmitters of gravity and nothing else. Changes in electron states are photon mediated - gravitons have no role.
If you want a graviton laser, you'll need a gain (amplification) medium (and a way to pump more energy into prepare this medium) and then a way to mostly confine the waves (so that a coherent mode is produced). Without the confinement, it's the analogy to a LED. No reason why it isn't possible in principle (though as pointed out, you'll need to construct it of systems of masses, rather than of electric charges).
While they are spin-2, the are some indications that they have Fermi statistics instead of Bose statistics. See section 4 of http://www.arxiv.org/abs/gr-qc/0212096
This would be in violation of the spin statistics theorem, so it is a subject of some interest.
^ Would that have any knock on effects for the susy partner of the graviton, the gravitino. It's spin 3/2 but if it's 'normal' version is a fermion with spin 2, could it be bosonic?