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Joeboat-
From your photos, it looks like you have flat mount, so probably not. I didn't know whether you were using 140mm. If you're desperate, then you could also wind the inboard all the way out, so the disc isn't centered in the caliper but is still centered between pads. Or use a half worn pad on the inside. Or shim the rotor. I would prefer any of those solutions over shimming the hub end caps.
chiroshi
Spyres are quite wide due to the mechanical double sided actuation. One solution is to use a bigger rotor which will give you a bit more room behind the caliper.