Yes, this is a common symptom of RSD/CRPS, which can be very confusing. Many patients report that their body's sense of temperature is completely distorted and can swing improbably from one extreme to the other. Leaning their arm against a cold car window may cause a sensation of excessive heat. Touching something hot may promote a sensation of coldness; and the opposite limb may react quite differently. Science has not yet explained this phenomenon which, in any case, is erratic even in the experience of one individual… but it is a recognised symptom.
Derrick Phillips - RSD Alert editor