Of course. However, keep in mind that the beam will come at an angle at the edges and it will be wider when out of focus. This will be very obvious when cutting 3mm materials unless you get a machine with sliding work bed.
That would depend on the model of the galvo head and the lens used.
I would suggest contacting one of the manufacturers that specialize in this kind of machines. I would start with - Galvo Laser Machine - Golden Laser
For a less expensive alternative, you may check some flat-bed machines with an analog drive system.