Yes, it's possible. After all CBR is a ratio (California Bearing Ratio) and is based on the subgrade response of a reference aggregate material. If your aggregate material has a greater strength then the reference aggregate material, then the subgrade support will be greater. One word of caution: What is your justification for using unsoaked CBR value? There is a potential for your subgrade strength to be affected by the dry strength of the compacted sample.
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