The calibration check box is for filament flow/pa calibration. The vibration at the start of the print is, as stated above, to “excite” the mechanical structure to look for changes in resonances, which could be an indication that a mechanical component needs adjustment (like belt tension). Which is why there are two pulses of vibration at different frequencies.
You can’t turn it off. It’s part of the architecture of the design.
You don’t want to turn it off.
If you “mass load” the table the printer is on, that might quiet it down a little, though. A couple of heavy cinderblock pavers/tiles would do it, with the printer sitting on top of the weight sitting on top of the table.
It goes by quick enough I don’t think it’s going to be a problem for your neighbors. If it does wake them up, it’ll have stopped before they get a chance to think about it. No worse than a door slamming somewhere…