Short version: not really.
Chilblain are painful reactions to changes in skin temperature in those with risk factors that affect the vascular reactivity in the skin. They are common in the colder climates and unheard of in the warmer climates, so they are a seasonal problem. There is not a lot of good research on chilblains, which leads to a lot of treatments and interventions based on anecdotes. You see a lot of advice being asked in forums from those who are exasperated with them.
This discussion highlighted the limited affect of chilblain creams and the need to really just protect the foot and let the lesions heal up when they develop.