The component mounting holes are I believe 3/8” for pots and 1/2” for pickup toggle switches, and that mini-switch is 1/4”. So yes it will fit but you’ll have to doctor it somewhat with hardware. I’ve had good luck using 1/4x5/8 washer on top and bottom and 1/4x3/8 washers to locate the miniswitch in the hole.
Edit: my experience has been on control plates/pickguards, can’t speak to mounting in wood. The diameters should be the same but the thickness may affect how much room you have on the bushing for hardware.