put up some photos a drawing with dimensions etc, fucking with wheel bearings and clearances can end badly, are they tapered rollers or ball bearings ??
As long as the spacer only is pressing on the inner bearing race it should work, if you can't get a good quality bearing the correct thickness( which you can)
Do not use some cheap crap bearing, use either an SKF or FAGG.
You might be better using a thin spacer on either side, than off setting the wheel by two mm, but I would fit it on the inside of the bearings and have the nut against the inner bearing races, there is a good chance a thin shim might tear when you tighten the nut.
You get thin metal shim stock from any good bearing supply but if fitting it on the inside of the bearing, you will have to cut the inner and outer diameters pretty carefully so it is a good fit. Or get 4 stainless steel ones machined up, use 316 stainless, not 304 as it rusts.
As stated in the above post, be careful :)
Cheers
Ken
PS just had a quick look and found these:
SKF Double Row
Fag Single Row
These will eliminate the spacer problem. Also listed are tapered roller bearings of the same size.